Essay. Show all work. find the quotient: 49a^2-b^2
---------
7a-b
Try factoring the numerator. It is the difference of two squares. One monomial factor will cancel the denominator.
plz help I'm lost word problems
To find the quotient, we need to divide the numerator by the denominator. In this case, the numerator is 49a^2 - b^2, and the denominator is 7a - b.
We can use the division method to simplify the expression.
First, let's factor the numerator. The difference of squares formula states that a^2 - b^2 can be factored as (a + b)(a - b). Using this rule, we can write the numerator as (7a + b)(7a - b).
Now, we can rewrite the expression as follows:
(7a + b)(7a - b) / (7a - b)
Notice that we have (7a - b) in both the numerator and the denominator. This means they can cancel each other out, leaving us with the final answer:
= 7a + b
Therefore, the quotient of 49a^2 - b^2 divided by 7a - b is 7a + b.