Solve the product (5x^3+5b^3)(5x^3-6y^5)

 Exercise

$\left(5x^3+5b^3\right)\left(5x^3-6y^5\right)$

 

Multiply the single term $5x^3-6y^5$ by each term of the polynomial $\left(5x^3+5b^3\right)$

$5x^3\left(5x^3-6y^5\right)+5b^3\left(5x^3-6y^5\right)$

 

Multiply the single term $5x^3$ by each term of the polynomial $\left(5x^3-6y^5\right)$

$25x^3\cdot x^3-30y^5x^3+5b^3\left(5x^3-6y^5\right)$

 

When multiplying exponents with same base we can add the exponents

$25x^{6}-30y^5x^3+5b^3\left(5x^3-6y^5\right)$

 

Multiply the single term $5b^3$ by each term of the polynomial $\left(5x^3-6y^5\right)$

$25x^{6}-30y^5x^3+25x^3b^3-30y^5b^3$

$25x^{6}-30y^5x^3+25x^3b^3-30y^5b^3$

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