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how to solve a perfect square of trinomials

Sagot :

Factor: x²+12x+36
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.
so the answer will be (x+6)(x+6) or (x+6)²