Question

: Show all work. Find the following quotient.
25x^2 – 100y^2/5x + 10y

Answer 1

\[\frac{25x^{2}-100y^{2}}{5x+10y} = \frac{25(x^{2}-4y^{2})}{5(x+2y)} = \frac{5(x+2y)(x-2y)}{x+2y} = 5(x-2y)\]

Answer 2

\[\frac{25x^2-100y^2}{5x+10y}\]


\[\frac{(5x+10y)(5x-10y)}{5x+10y}\]


\[5x-10y\]


So \[\frac{25x^2-100y^2}{5x+10y}=5x-10y\]

Answer 3

thank you