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Explain why we can not square a sum by simply squaring each term of the sum????????

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  • Anonymous Apr 17, 2009

    When we square a product, we square each factor in the product. For example, (4b)2 = 16b2. Explain why we cannot square a sum by simply squaring each term of the sum.


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Hahahhaha.. because a^b + c^b is differnet from (a+c)^b... factorization... dude.. factorization!!

Posted on Sep 21, 2008

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Column 75" tall, 16" wide and 16" deep. How many sq feet of stone to cover the column and top?

you have a rectangle of of 75 X by16 and you have 4 of those rectangles so multiply 75 X 16 and then multiply the sum by 4
then you have the ends which are squares of 16 X 16 so multiply 16 X 16 Nd then multiply the sum by 2
then add the 2 sums together to get the total square inches of the surface of the object
now one square inch =.00694 square feet so multiply the total sum by .00694 to get the area in square feet
grade 4 maths really

Jan 04, 2017 | Office Equipment & Supplies

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How many feet is 350 linear feet?

Linear feet are a measure of length (no different from feet); square feet measure area. You cannot simply convert between measures of different kinds of quantities;the connection between them will be specific to a particular problem.A practical example in which this question can arise is in buying countertops for a kitchen. Some materials are sold by the square foot; others (basically those that are extruded, so they come in standard widths) are sold by the linear foot. In order to compare the two, you need to compute the area and wall length for the countertop you want.You can't convert between the two. All you have to do is to make the appropriate measurements so you can calculate the price of each item.The terms used in the lumber industry are a bit confusing.There are two terms that I think you might be mixing up.A LINEAR FOOT is simply the length of a board. If you want to know the area or volume of the board,you need additional information. For instance, 6 linear feet of 1-by-12 has an area of 6 square feet (12 inches = 1 foot, times 6 feet), and it's 1 inch thick, so the volume is 1/2 cubic foot (6 square feet times 1/12 foot). But 6 linear feet of a 1-by-6 board would have half the area and half the volume.A BOARD FOOT is equivalent to one square foot of a 1-inch-thick board. In other words, it is a square-foot-inch (ft^2-in), or 1/12 cubic foot.Linear feet are used for the pricing of a single size such as two-by-fours. Board feet are used for larger lumber that you are more likely to want to compare directly with different size boards .To sum up, neither a linear foot nor a board foot can be converted directly to square feet. A linear foot is a linear (length) measure, and a board foot is a volume measure. You need to know your particular board to do anything more, such as find the example with an" L" shaped countertop will betwo rectangles are 24 by 80 inches and 24 by 36 inches. Thus the area is: 24 * 80 + 24 * 36 = 24 * (80 + 36) = 24 * 116= 2784 sq. in.To get it in square feet, divide by 144:
2784 / 144 = 19.33 sq. ft.The linear measure of this countertop would be 60 + 80 = 140 inches = 140/12 feet = 11.67 feet

Apr 08, 2014 | Cars & Trucks

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Calculate hypotenuse

in building terms there is the 3, 4, 5 rule, which allows you to determine a perfect right angle. This is from the Pythagoras theorem which says - the square on the hypotenuse equals the sum of the squares on the other two sides.... so to calculate the hypotenuse we square 3 and 4 to get 9 and 16 respectively. Adding these give 25. Getting the square root of 25 gives 5 which is the dimension of the hypotenuse...
Any combination of 3/4/5 works - so 6/8/10 is also valid.
Hope this helps.

Oct 22, 2013 | Measuring Tools & Sensors

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What are the 7 classifications of special product (algebra)

1. Square of a sum
2. Square of a difference
3. Difference of square (also called product of sum and difference)
4. Cube of a sum
5. Cube of a difference
6. Difference of cube
7. Sum of cube

For more information about each type click this link.

Sep 04, 2011 | Computers & Internet

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Wat is special product

Here, We deal with Some Special Products in Polynomials.

Certain products of Polynomials occur more often
in Algebra. They are to be considered specially.

These are to be remembered as Formulas in Algebra.

Remembering these formulas in Algebra is as important
as remembering multiplication tables in Arithmetic.

We give a list of these Formulas and Apply
them to solve a Number of problems.

We give Links to other Formulas in Algebra.

Here is the list of Formulas in
Polynomials which are very useful in Algebra.
Formulas in Polynomials :

Algebra Formula 1 in Polynomials:

Square of Sum of Two Terms:

(a + b)2 = a2 + 2ab + b2
Algebra Formula 2 in Polynomials:

Square of Difference of Two Terms:

(a - b)2 = a2 - 2ab + b2
Algebra Formula 3 in Polynomials:

Product of Sum and Difference of Two Terms:

(a + b)(a - b) = a2 - b2
Algebra Formula 4 in Polynomials:

Product giving Sum of Two Cubes:

(a + b)(a2 - ab + b2) = a3 + b3
Algebra Formula 5 in Polynomials:

Cube of Difference of Two Terms:

(a - b)3 = a3 - 3a2b + 3ab2 - b3 = a3 - 3ab(a - b) - b3
Algebra Formula 8 in Polynomials:

Each of the letters in fact represent a TERM.

e.g. The above Formula 1 can be stated as
(First term + Second term)2
= (First term)2 + 2(First term)(Second term) + (Second term)2

Jul 02, 2011 | Computers & Internet

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Compare the terms of the product of the square of binomial and the terms of the product of the sum and difference of two terms. What statements can you make?

Compare the terms of the product of the square of binomial and the terms of the product of the sum and difference of two terms. What statements can you make?

Jun 16, 2011 | Computers & Internet

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Double Squares A double-square number is an integer X which can be expressed as the sum of two perfect squares. For example, 10 is a double-square because 10 = 32 + 12. Your task in this problem is, given...

20 1105 1991891221 510644794 3 0 421330820 4 65 1941554117 2147483645 801125 1000582589 27625 1048039120 1022907856 2147483646 1041493518 1096354453 1740798996 71825

Jan 08, 2011 | Starrett 50118 14d Complete Double Square

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How do I calculate the standard deviation on an Aurex Prestige calculator?

standard devition is easy once you get your head around it for grouped data you have to take the equation apart so put in the sum of f then bracket (x-mean) squared and then divide by the sum of f and square root everything on the calculator. And then for non-grouped data you need to do the sum of (x-mean)squared then divided by the sum of n and once again square root everything.
Hope this helps
Good Luck

Nov 11, 2010 | Casio fx-300ES Calculator

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How do you enter frequencies for finding standard deviation? For example, Frequency=50, total of X or raw scores = 366.5. Summation of X squared =2836.39. What is standard deviation? How do you enter the...

I am afraid I do not understand. The frequency of a PARTICULAR score is the number of times that particular value occurs in the data. It is not the number of data.
Ex: the data are:
4, 6, 5, 4, 4, 8, 9, 3, 3, 6, 7
Frequency of (3) =2
Frequency of (4)= 3
Frequency of (5) =1
Frequency of (6)= 2
Frequency of (7)=1
Frequency of (8)=1
Frequency of (9)=1

Number of data =11 (n=11)

You compute the mean M
M= (2x3 + 3x4 +1x5 +2x6+1x7+1x8+1x9) /11 =5.363636..
As you can see, if a term is not repeated it is multiplied by 1 (its frequency is one). Value 3 occurs twice (hence 2x3); value 4 occurs 3 times (3x4), etc.

To calculate by hand the sum of squares
3: (3-5.3636)^2 + (3-5.3636)^2 .................... = 2x(3-5.3636)^2
4: (4-5.3636)^2 + (4-5.3636)^2 +(4-5.3636)^2 = 3x(4-5.3636)^2
5: (5-5.3636)^2 ...................................... .= 1x(5-5.3636)^2
6: (6-5.3636)^2 +(6-5.3636)^2......................= 2x(6-5.3636)^2
7: (7-5.3636)^2.......................................... .=1x(7-5.3636)^2
8: (8-5.3636)^2......................................... ..=1x(8-5.3636)^2
: (9-5.3636)^2......................................... ..=1x(9-5.3636)^2
If I have not made a mistake the sum of squares is 40.5454

Standard Deviation
The standard formula above gives s= square root (40.5454/10) =2.01
Population Standard Deviation
The population Standard deviation above is S= square root (40.5454/11) =1.9198

So if you perform the calculation with the calculator the only times you need to enter the frequency is for repeated terms. When you have to enter 6 above, its frequency is 2 you proceed as follows
6 [2nd][FRQ] 2 [Sigma+]

Once you entered the raw scores, the calculator does the rest.
Hope it helps.

Nov 06, 2009 | Texas Instruments TI-30XA Calculator

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