FACTORIZATION 5

factorize 4x²- 81y^2.

solution

we use difference of two squares a² – b² = (a - b)(a + b)

4x²- 81y² = 2²x² - 9²y²

                     = (2x)² - (3y)²

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

Hence 4x² - 81y² = (2x - 3y)( 2x + 3y)

TRY THIS…………….

factorize 100a²- 625e²