Question

Help it’s urgent please

Answer 1

Answer:

$\frac{5 {x}^{2} + 20xy + 20 {y}^{2} }{x ^{2} - xy - {6y}^{2} }$

To simplify first factorize both the numerator and the denominator

For the numerator

5x² + 20xy + 20y²

Factor 5 out

5 ( x² + 4xy + 4y²)

Using a² + 2ab + b² = ( a + b)²

The numerator is

5( x + 2y)²

For the denominator

x² - xy - 6y²

Rewrite -xy as a difference

x² + 2xy - 3xy - 6y²

Factorize

We have the denominator as

( x + 2y)( x - 3y)

So we now have

$\frac{5(x + 2y)(x + 2y)}{(x + 2y)(x - 3y)}$

Simplify

$\frac{5(x + 2y)}{x - 3y}$

We have the final answer as

$\frac{5x + 10y}{x - 3y}$

Hope this helps you