Hi.
It depends on the context and on the algebraic representation that you want to use. Studying "mathematical thinking" I learned that you can model an infinity of mathematical representations around any real-life problem. The same is valid if you restrict the possible mathematical fields to Algebra.
I am not sure if "w weeks" was a mistake or if w is the number of weeks.
If w is the number of weeks the most immediate algebraic representation is 7w. This can be represented in decimal system or using a different base (for most applications base 7).
The most common representation of the number of days in a single week is the number 7. Representing the number of days with 7 you will be for example using a base ten system to represent the weekdays within a larger set of number (e.g. Natural numbers, Positive Integers, or the 365 days of the year.
A common exercise is representing the number of week days while doing base n or module n maths. If required in this context the answer will be a representation in base 7. In that case the number of days in a week can be represented using 7 numbers (instead of ten).The algebraic representation will be the numbers: 0,1,2,3,4,5,6 . Such representation is often written as 7n or called "module 7" representation (probably 7w if the spare w in your question is not a mistake).
There are other representation. The solution to the exercise depends on the context in which the exercise has been proposed. Making a couple of assumptions what you are looking for is probably 7w.
Regards.
Ginko
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
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