Expand the expression (5n^5+4u^2)^2

 Exercise

$\left(5n^5+4u^2\right)^2$

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Expand the expression $\left(5n^5+4u^2\right)^2$ using the square of a binomial

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

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Take the square of the first term: $5n^5$

$25n^{10}$

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Twice ($2$) the product of the two terms: $5n^5$ and $4u^2$

$40n^5u^2$

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Take the square of the second term: $4u^2$

$16u^{4}$

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Add the three results, and we obtain the expanded polynomial

$25n^{10}+40n^5u^2+16u^{4}$

$25n^{10}+40n^5u^2+16u^{4}$

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