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2014-06-23T20:09:48+08:00

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A trinomial that is the square of a binomial is called a trinomial square. Trinomials that are perfect squares factor into either the square of a sum or the square of the difference.
Example: x^2-6x+9
= x^2 - 3x -3x + 9
= x(x-3) - 3(x-3)
= (x-3) (x-3)
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2014-06-23T20:12:27+08:00

This Is a Certified Answer

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
(x + y)² =(x)² + 2(x)(y) + (y)²

therefore, if a trinomial is of the form (x)² + 2(x)(y) + (y)², it can be factored into the square of a binomial.

another examples:
1. (x + 2y + 1)²=x² + 4y² + 1 +4xy +2x + 4y
2. (2x + 3y + 2z)²=4x² + 9y² + 4z² +12xy + 8xz +12yz
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