Expand the expression (2x^2+5y2/3)^2

 Exercise

$\left(2x^2+5y+\frac{2}{3}\right)^2$

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Expand the expression $\left(2x^2+5y+\frac{2}{3}\right)^2$ 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: $2x^2$

$4x^{4}$

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Twice ($2$) the product of the two terms: $2x^2$ and $5y$

$20x^2y$

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Take the square of the second term: $5y$

$25y^{2}$

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Add the three results, and we obtain the expanded polynomial

$4x^{4}+20x^2y+25y^{2}$

$4x^{4}+20x^2y+25y^{2}$

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