Question

Help it’s urgent please

Answer 1

`\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

`(5(x + 2y)(x + 2y))/((x + 2y)(x - 3y))`

Simplify

`(5(x + 2y))/(x - 3y)`

We have the final answer as

`(5x + 10y)/(x - 3y)`

Hope this helps you