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Question

Factor this trinomial completely.

4z212zw+9w24 z^2-12 z w^{\prime}+9 w^2

Solution

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Answered 2 years ago
Answered 2 years ago
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1 of 3

We must factor the given binomial completely:

4z212zw+9w24z^2-12zw+9w^2

Rewrite the binomial:

(2z)222z3w+3w2\blue{(2z)^2}-2\red{\cdot 2z \cdot 3w}+\green{3w^2}

Notice that the given binomial is the perfect square trinomial:

a2±2ab+b2\blue{a^2} \pm 2\red{ab} +\green{b^2}

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