Question

Factors of 4p^2 - 9q^2 are

Answer 1

(2p+3q) (2p-3q)

Explanation:

`4p^2-9q^2`

`4p^2=(2p)^2`

`4p^2=(3q)^2`

`=\left(2p\right)^2-\left(3q\right)^2`

`\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)`

`\left(2p\right)^2-\left(3q\right)^2=\left(2p+3q\right)\left(2p-3q\right)`

`=\left(2p+3q\right)\left(2p-3q\right)`

Answer =
`\left(2p+3q\right)\left(2p-3q\right)`

~Learn with Lenvy~

Answer 2

(2p + 3q)(2p - 3q)

Explanation:

This is of the form :-

• a² - b² = (a + b)(a - b)

4p² - 9q² = (2p + 3q)(2p - 3q)