# Factoring Perfect Square Trinomials Worksheets

Factoring Perfect Square Trinomials Worksheets Generator.
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 $\text{Factor}{a}^{2}+8a+16$ Steps: Explanation: ${a}^{2}+8a+16$ 1 . The first and last terms are Perfect Squares. To be a Perfect Square trinomial, the middle term must be twice the product of the square roots of the first and last terms. $\sqrt{{x}^{2}}=x$ $\sqrt{16}=4$ $2\left(x\right)\left(4\right)=8x$ 2 . Factor by finding the square root of x2 and of 16.The binomial factor of the terms x and 4. ${\left(x+4\right)}^{2}$ 3 . Place the sign of the middle terms of the trinomial between the terms of the factor. $\text{So the factorization of}{a}^{2}+8a+16={\left(x+4\right)}^{2}$