Expand the expression (5a^3-3)(5a^2-20)

 Exercise

$\left(5a^3-3\right)\left(5a^2-20\right)$

 

Multiply the single term $5a^2-20$ by each term of the polynomial $\left(5a^3-3\right)$

$5a^3\left(5a^2-20\right)-3\left(5a^2-20\right)$

 

Multiply the single term $5a^3$ by each term of the polynomial $\left(5a^2-20\right)$

$25a^2a^3-100a^3-3\left(5a^2-20\right)$

 

When multiplying exponents with same base we can add the exponents

$25a^{5}-100a^3-3\left(5a^2-20\right)$

 

Multiply the single term $-3$ by each term of the polynomial $\left(5a^2-20\right)$

$25a^{5}-100a^3-15a^2+60$

$25a^{5}-100a^3-15a^2+60$

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