# Chapter P - Section P.5 - Factoring Polynomials - Exercise Set - Page 68: 54

$(5x+1)^2$

#### Work Step by Step

RECALL: A perfect square trinomial can be factored using either of the following formulas. (i) $a^2+2ab+b^2=(a+b)^2.$ (i) $a^2-2ab+b^2=(a-b)^2.$ The given perfect square trinomial can be written as $(5x)^2+2(5x)(1)+1^2.$ Factor using formula (i) above with $a=5x$ and $b=1$ to obtain $(5x+1)^2.$

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