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Posted on Jan 02, 2017

-54k^2+3k
I assume that you want to factor this completely.

I do it one component at a time.

What is the biggest common factor of -54 and 3. I use a trick of adding the digits of the number. If 3 and/or 9 go into that number evenly, than 3 and/or 9, respectively go into the original number. In this case, 5+4 = 9 and since 3 goes into 9 evenly, 3 goes into 54 evenly. Since the factors of 3 are 3 and 1, this must be the greatest common factor of this component.

Onto the next component, what is the greatest common factor of k^2 and k. The answer is k, because k^2 doesn't go evenly into k.

Combining the two, the greatest common factor is 3k.

Next we have to divide 3k into each term.

3k(-18k+1) or -3k(18k-1)

Good luck,

Paul

I do it one component at a time.

What is the biggest common factor of -54 and 3. I use a trick of adding the digits of the number. If 3 and/or 9 go into that number evenly, than 3 and/or 9, respectively go into the original number. In this case, 5+4 = 9 and since 3 goes into 9 evenly, 3 goes into 54 evenly. Since the factors of 3 are 3 and 1, this must be the greatest common factor of this component.

Onto the next component, what is the greatest common factor of k^2 and k. The answer is k, because k^2 doesn't go evenly into k.

Combining the two, the greatest common factor is 3k.

Next we have to divide 3k into each term.

3k(-18k+1) or -3k(18k-1)

Good luck,

Paul

Mar 29, 2017 | Homework

I don't think you can do it! Could you check your numbers.

If we are using the numbers 1-9 once and only once in a 3x3 magic square, the sum of the rows + the sum of the columns should be 90, since 1+2+3+4+5+6+7+8+9 in the rows adds up to 45 and 1+2+3+4+5+6+7+8+9 in the columns adds up to 45.

When trying to solve, the magic number seem to be the sums 24 and 10. To get 24, the only three numbers that add to 24 are 7 + 8 +9. Similarly to get 10, the lowest numbers re 1 and 2 and the smallest big number to use is 7. I then ran out of number trying to get 21, 13 and 15 sums.

Good luck,

Paul

If we are using the numbers 1-9 once and only once in a 3x3 magic square, the sum of the rows + the sum of the columns should be 90, since 1+2+3+4+5+6+7+8+9 in the rows adds up to 45 and 1+2+3+4+5+6+7+8+9 in the columns adds up to 45.

When trying to solve, the magic number seem to be the sums 24 and 10. To get 24, the only three numbers that add to 24 are 7 + 8 +9. Similarly to get 10, the lowest numbers re 1 and 2 and the smallest big number to use is 7. I then ran out of number trying to get 21, 13 and 15 sums.

Good luck,

Paul

May 21, 2015 | Office Equipment & Supplies

1.71/4.56 ratio simplified.

First, let's clean it up by multiplying top (numerator) and bottom (denominated) by 100. Now we have 171/456.

Next, I use an old trick. If you add up the digits in a number and the answer is divisible by 3, the number is divisible by 3.

1+7+1 = 9 and 9 is evenly divisible by 3, so 171 is divisible by 3.

Similarly, with 456, 4+5+6 = 15 and 3 goes evenly into 15, so 3 goes in evenly to 15. Alternatively, we can take the answer 15, and go 1+5 = 6 and 3 goes evenly into 6 so 3 goes evenly into 456.

171 ÷ 3 = 57

----- ----

456 ÷ 3 = 152

Since is 57, 5+7 = 12 and 1+2 =3, 3 goes into 57 19 times.

Since 152 is even, factors are 2 and 76. Factoring 76, 2 and 38. Factoring 38, 2 and 19. So 152 is 2 x 2 x 2 x 19.

Since 19 is common, we can divide top (numerator) and bottom (denominated) by 19.

57 ÷ 19 = 3

--- ----

152 ÷ 19 = 8

Thus, the final answer is 3/8.

Alternatively, you can factor 171 and 456 and divide by the highest common factor, which are the factors that are common to both.

First, let's clean it up by multiplying top (numerator) and bottom (denominated) by 100. Now we have 171/456.

Next, I use an old trick. If you add up the digits in a number and the answer is divisible by 3, the number is divisible by 3.

1+7+1 = 9 and 9 is evenly divisible by 3, so 171 is divisible by 3.

Similarly, with 456, 4+5+6 = 15 and 3 goes evenly into 15, so 3 goes in evenly to 15. Alternatively, we can take the answer 15, and go 1+5 = 6 and 3 goes evenly into 6 so 3 goes evenly into 456.

171 ÷ 3 = 57

----- ----

456 ÷ 3 = 152

Since is 57, 5+7 = 12 and 1+2 =3, 3 goes into 57 19 times.

Since 152 is even, factors are 2 and 76. Factoring 76, 2 and 38. Factoring 38, 2 and 19. So 152 is 2 x 2 x 2 x 19.

Since 19 is common, we can divide top (numerator) and bottom (denominated) by 19.

57 ÷ 19 = 3

--- ----

152 ÷ 19 = 8

Thus, the final answer is 3/8.

Alternatively, you can factor 171 and 456 and divide by the highest common factor, which are the factors that are common to both.

Feb 22, 2015 | Office Equipment & Supplies

450=9*5*10=9*50

9*50/3=3*50=150

To verify if a number is divisible by 3, add the digits in the number. If the sum of digits is divisible by 3, then thumber is also divisible by 3.

Sum of digits in 450 =4+5+0 =9, divisible by 3, so 450 is also divisible by 3.

9*50/3=3*50=150

To verify if a number is divisible by 3, add the digits in the number. If the sum of digits is divisible by 3, then thumber is also divisible by 3.

Sum of digits in 450 =4+5+0 =9, divisible by 3, so 450 is also divisible by 3.

Jul 06, 2014 | Office Equipment & Supplies

1

2

3

4

5

6

7

8

9

153

370

371

407

1634

8208

9474

54748

92727

93084

548834

Jan 06, 2011 | Computers & Internet

this would be explained on the basis of two FACTS below.......

sum of two odd numbers are always even and

sum of to even numbers are also always even

then how 6 odd numbers (consider 3 pairs, 9 5 3 1 being odd numbers) can make an odd number 21..!!

SO SIMPLE

Make your basics strong...

sum of two odd numbers are always even and

sum of to even numbers are also always even

then how 6 odd numbers (consider 3 pairs, 9 5 3 1 being odd numbers) can make an odd number 21..!!

SO SIMPLE

Make your basics strong...

Aug 14, 2010 | Computers & Internet

A number is 3 more than 4 the sum of its digits. If the digits are interchanged, the resulting number is 9 more than the given number. Find the number.

Aug 05, 2010 | Brookstone Luggage & Travel

hello. now you are making me think about something that i have not thought about in many years.

72 is a composite number because it has factors other than 1 and itself., It is not a prime number.

The 12**factors** of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

The**factor pairs** of 72 are 1 x 72, 2 x 36, 3 x 24, 4 x 18, 6 x 12, and 8 x 9.

The**proper factors** of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, and 36 or,

if the definition you are using excludes 1, they are 2, 3, 4, 6, 8, 9, 12, 18, 24, and 36. The**prime factors** of 72 are 2, 2, 2, 3, and 3.

72 is a composite number because it has factors other than 1 and itself., It is not a prime number.

The 12

The

The

if the definition you are using excludes 1, they are 2, 3, 4, 6, 8, 9, 12, 18, 24, and 36. The

Sep 09, 2009 | 2007 Ridley Auto Glide Old school

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