PLEASE HELP ME FACTOR COMPLETLEY.
25w^2-144
That is the difference of two squares. Remember that a^2 - b^2 = (a+b)(a-b)
Think of "a" as 5w and "b" as 12.
Now write down the answer.
25+12=37
25-12=13
37*13=481
so the answer is 481??
No. Where did the w go?
They are asking for the expression
25w^2 - 144
to be factored, not evalauated.
The answer is
(5w + 12)(5w - 12)
To factor completely, let's start by looking for common factors. In this case, there is no common factor between 25w^2 and 144.
Next, let's examine the two terms individually:
25w^2: This is a perfect square term, meaning it can be factored using the square of a binomial pattern, which states that (a^2 - b^2) = (a + b)(a - b). In this case, a = 5w and b = 12.
So, we can factor 25w^2 as (5w + 12)(5w - 12).
144: This is a perfect square as well. It can be factored as the product of two identical factors. In this case, the square root of 144 is 12.
Therefore, 144 can be factored as (12)(12).
Now, since we have factored both terms individually, we can write down the complete factored form:
25w^2 - 144 = (5w + 12)(5w - 12) - (12)(12)
And that is the completely factored form of 25w^2 - 144.