Expand the expression (8x^2-y^3)(2x-y)

 Exercise

$\left(8x^2-y^3\right)\left(2x-y\right)$

 

Multiply the single term $2x-y$ by each term of the polynomial $\left(8x^2-y^3\right)$

$8x^2\left(2x-y\right)-y^3\left(2x-y\right)$

 

Multiply the single term $8x^2$ by each term of the polynomial $\left(2x-y\right)$

$16x\cdot x^2-8yx^2-y^3\left(2x-y\right)$

 

When multiplying exponents with same base you can add the exponents: $16x\cdot x^2$

$16x^{3}-8yx^2-y^3\left(2x-y\right)$

 

Multiply the single term $-y^3$ by each term of the polynomial $\left(2x-y\right)$

$16x^{3}-8yx^2-2xy^3+y\cdot y^3$

 

When multiplying exponents with same base you can add the exponents: $y\cdot y^3$

$16x^{3}-8yx^2-2xy^3+y^{4}$

$16x^{3}-8yx^2-2xy^3+y^{4}$

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