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What is a perfect square binomial and how do you find the product?

1 Answer

Jul 8, 2018

A trinomial that when factored gives you the square of a binomial

Explanation:

Given: What is a perfect square binomial?

A perfect square binomial is a trinomial that when factored gives you the square of a binomial.

Ex. ${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$ $(a+b)^2 = a^2 + 2ab + b^2$

Ex. ${(2 a + 3 b)}^{2} = 4 a^{2} + 12 a b + 9 b^{2}$ $(2a + 3b)^2 = 4a^2 + 12ab + 9b^2$

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