Expand the expression (x^3+7)(x^2-8)

 Exercise

$\left(x^3+7\right)\left(x^2-8\right)$

 

Multiply the single term $x^2-8$ by each term of the polynomial $\left(x^3+7\right)$

$x^3\left(x^2-8\right)+7\left(x^2-8\right)$

 

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

$x^2x^3-8x^3+7\left(x^2-8\right)$

 

When multiplying exponents with same base we can add the exponents

$x^{5}-8x^3+7\left(x^2-8\right)$

 

Multiply the single term $7$ by each term of the polynomial $\left(x^2-8\right)$

$x^{5}-8x^3+7x^2-56$

$x^{5}-8x^3+7x^2-56$

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