3 years ago

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

Mathematics

1 answer:

andre [41]3 years ago

7 0

Answer:

( 9w - 2z)^2

Step-by-step 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

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