Question

Factorize the Expression 81w^2 - 36wz + 4z^2

Answer 1

( 9w - 2z)^2

Explanation:

81w^2 - 36wz + 4z^2

Rewriting as

(9w)^2 - 2 * 9 w 2z + (2z)^2

We recognize that this is a perfect square binomial

a^2 -2ab + b^2 is a perfect square binomial because it factors to (a - b)^2

let a = 9w b = 2z

81w^2 - 36wz + 4z^2 = ( 9w - 2z)^2