2:Squaring a binomial creates a perfect square trinomial: (a + b)2 (a – b)2 (a + b)2 = a2 + 2ab + b2 (a – b)2 = a2 – 2ab + b2 Factor: x2 + 12x + 36 Solution: Does this fit the pattern of a perfect square trinomial?Yes. Both x2 and 36 are perfect squares, and 12x is twice the product of x and 6.Since all signs are positive, the pattern is (a + b)2 = a2 + 2ab + b2. Let a = x and b = 6.Answer: (x + 6)2 or (x + 6)(x + 6)
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