Expand the expression -6x^2yz^4(-5x^3-yz^2)

 Exercise

$\left(-6x^2yz^4\right)\left(-5x^3-yz^2\right)$

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Multiply the single term $-6x^2yz^4$ by each term of the polynomial $\left(-5x^3-yz^2\right)$

$30x^3x^2yz^4+6yz^2x^2yz^4$

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When multiplying exponents with same base we can add the exponents

$30x^{5}yz^4+6yz^2x^2yz^4$

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

$30x^{5}yz^4+6y^2z^2x^2z^4$

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When multiplying exponents with same base we can add the exponents

$30x^{5}yz^4+6y^2z^{6}x^2$

$30x^{5}yz^4+6y^2z^{6}x^2$

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