Question

Factor this trinomial completely.

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

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 3We must factor the given binomial completely:

$4z^2-12zw+9w^2$

Rewrite the binomial:

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

Notice that the given binomial is *the perfect square trinomial*:

$\blue{a^2} \pm 2\red{ab} +\green{b^2}$

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