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Question

Factor this trinomial completely.

49x228xy+4y249 x^2-28 x y+4 y^2

Solution

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Answered 2 years ago
Answered 2 years ago
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We must factor the given binomial completely:

49x228xy+4y249x^2-28xy+4y^2

Rewrite the binomial:

(7y)227y2y+2y2\blue{(7y)^2}-2\red{\cdot 7y \cdot 2y}+\green{2y^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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