Solve the product (60x^2+15)(60x^2-14)

 Exercise

$\left(60x^2+15\right)\left(60x^2-14\right)$

 

Multiply the single term $60x^2-14$ by each term of the polynomial $\left(60x^2+15\right)$

$60x^2\left(60x^2-14\right)+15\left(60x^2-14\right)$

 

Multiply the single term $60x^2$ by each term of the polynomial $\left(60x^2-14\right)$

$3600x^2\cdot x^2-840x^2+15\left(60x^2-14\right)$

 

When multiplying exponents with same base we can add the exponents

$3600x^{4}-840x^2+15\left(60x^2-14\right)$

 

Multiply the single term $15$ by each term of the polynomial $\left(60x^2-14\right)$

$3600x^{4}-840x^2+900x^2-210$

 

Combining like terms $-840x^2$ and $900x^2$

$3600x^{4}+60x^2-210$

$3600x^{4}+60x^2-210$

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