Question

Factorize 20(x - y)^2- 45y^2​

Answer 1

`20(x - y)² - 45y² = 5(2(x - y) + 3y)(2(x - y) - 3y)`

Explanation:

We can start by factoring out the common factor of 5 from both terms:

`20(x - y)² - 45y² = 5(4(x - y)² - 9y²)`

Now, we can see that we have a difference of squares in the second set of parentheses:

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

Therefore, the fully factorized expression is:

`20(x - y)² - 45y² = 5(2(x - y) + 3y)(2(x - y) - 3y)`