Solve the product (a^3-b^3)(a^3+b^2)

 Exercise

$\left(a^3-b^3\:\right)\left(a^3+b^2\right)$

 

Multiply the single term $a^3+b^2$ by each term of the polynomial $\left(a^3-b^3\right)$

$a^3\left(a^3+b^2\right)-b^3\left(a^3+b^2\right)$

 

Multiply the single term $a^3$ by each term of the polynomial $\left(a^3+b^2\right)$

$a^3\cdot a^3+b^2a^3-b^3\left(a^3+b^2\right)$

 

When multiplying exponents with same base we can add the exponents

$a^{6}+b^2a^3-b^3\left(a^3+b^2\right)$

 

Multiply the single term $-b^3$ by each term of the polynomial $\left(a^3+b^2\right)$

$a^{6}+b^2a^3-a^3b^3-b^2b^3$

 

When multiplying exponents with same base we can add the exponents

$a^{6}+b^2a^3-a^3b^3-b^{5}$

$a^{6}+b^2a^3-a^3b^3-b^{5}$

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