Question

Find the quotient. Show all steps please.

25a^2 - 16b^2 / 5a - 4b

Answer 1

trying factoring the top

Answer 2

then something will cancel

Answer 3

and then you will be done

Answer 4

\[\large \frac{25a^2-16b^2}{5a-4b}\]


\[\large \frac{(5a-4b)(5a+4b)}{5a-4b}\]


\[\large \frac{\cancel{(5a-4b)}(5a+4b)}{\cancel{5a-4b}}\]


\[\large 5a+4b\]
So \[\large \frac{25a^2-16b^2}{5a-4b}=5a+4b\]

Answer 5

like that

Answer 6

it looks great :)