Expand the expression -2xy(-4x^2-5xy7y^2)

 Exercise

$\left(-2xy\right).\left(-4x^2-5xy+7y^2\right)$

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Multiply the single term $-2xy$ by each term of the polynomial $\left(-4x^2-5xy+7y^2\right)$

$8x^2xy+10xyxy-14y^2xy$

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When multiplying exponents with same base you can add the exponents: $8x^2xy$

$8x^{3}y+10xyxy-14y^2xy$

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When multiplying two powers that have the same base ($x$), you can add the exponents

$8x^{3}y+10x^2y\cdot y-14y^2xy$

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When multiplying exponents with same base you can add the exponents: $-14y^2xy$

$8x^{3}y+10x^2y\cdot y-14y^{3}x$

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When multiplying two powers that have the same base ($y$), you can add the exponents

$8x^{3}y+10x^2y^2-14y^{3}x$

$8x^{3}y+10x^2y^2-14y^{3}x$

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