Problemas
Find the square.Simplify your answer. (h+4)^2 square
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Juliomaestro · Tutor durante 5 años
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To find the square of the binomial expression \((h+4)^2\), we can use the formula for the square of a binomial:<br /><br />\[<br />(a + b)^2 = a^2 + 2ab + b^2<br />\]<br /><br />In this case, \(a = h\) and \(b = 4\). Applying the formula:<br /><br />\[<br />(h + 4)^2 = h^2 + 2(h)(4) + 4^2<br />\]<br /><br />Now, simplify each term:<br /><br />\[<br />h^2 + 2 \cdot h \cdot 4 + 4^2 = h^2 + 8h + 16<br />\]<br /><br />So, the simplified form of \((h + 4)^2\) is:<br /><br />\[<br />h^2 + 8h + 16<br />\]<br /><br />Thus, the answer is:<br /><br />\[<br />\boxed{h^2 + 8h + 16}<br />\]
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