Expand the expression (y^3-7)(-8+3y^3)

 Exercise

$\left(y^3-7\right)\left(-8+3y^3\right)$

 

Multiply the single term $-8+3y^3$ by each term of the polynomial $\left(y^3-7\right)$

$y^3\left(-8+3y^3\right)-7\left(-8+3y^3\right)$

 

Multiply the single term $y^3$ by each term of the polynomial $\left(-8+3y^3\right)$

$-8y^3+3y^3\cdot y^3-7\left(-8+3y^3\right)$

 

When multiplying exponents with same base we can add the exponents

$-8y^3+3y^{6}-7\left(-8+3y^3\right)$

 

Multiply the single term $-7$ by each term of the polynomial $\left(-8+3y^3\right)$

$-8y^3+3y^{6}+56-21y^3$

 

Combining like terms $-8y^3$ and $-21y^3$

$-29y^3+3y^{6}+56$

$-29y^3+3y^{6}+56$

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