Question

How do you factor #4x^2-36y^2 #?

Answer 1

(2x - 6y )(2x + 6y )

Explanation:

`a^2 - b^2`

is a difference of two squares since the values on either side of the difference (- ) are perfect squares. the factor of

`a^2 - b^2 = (a - b)(a + b )`

in the question given then a = 2x and b = 6y

`rArr 4x^2- 36y^2 = (2x - 6y )(2x + 6y )`