# Chapter 4 - Polynomials - Review Exercises: Chapter 4: 48

$49x^2+14x+1$

#### Work Step by Step

Using $(a+b)^2=a^2+2ab+b^2$ or the square of a binomial, the product of the given expression, $(7x+1)^2 ,$ is \begin{array}{l}\require{cancel} (7x)^2+2(7x)(1)+(1)^2 \\\\= 49x^2+14x+1 .\end{array}

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