The simplified expression is [tex](4x+7)^2=16x^2+56x+49[/tex]
Explanation:
The expression that we have in this problem is
[tex](4x+7)^2[/tex]
We want to simplify this expression: in order to do so, we apply the rule to solve the square of a binomial:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
Where in our expression, we have:
[tex]a=4x\\b=7[/tex]
So, the various terms are:
[tex]a^2=(4x)^2=16x^2\\2ab=2(4x)(7)=56x\\b^2=7^2=49[/tex]
Therefore, the final expression becomes
[tex](4x+7)^2=16x^2+56x+49[/tex]
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