Question

Select the correct answer.Simplify the following expression.(4x + 7)^2​

Answer 1

The simplified expression is $(4x+7)^2=16x^2+56x+49$

Explanation:

The expression that we have in this problem is

$(4x+7)^2$

We want to simplify this expression: in order to do so, we apply the rule to solve the square of a binomial:

$(a+b)^2=a^2+2ab+b^2$

Where in our expression, we have:

$a=4x\\b=7$

So, the various terms are:

$a^2=(4x)^2=16x^2\\2ab=2(4x)(7)=56x\\b^2=7^2=49$

Therefore, the final expression becomes

$(4x+7)^2=16x^2+56x+49$

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