Solve the product 2(x^2-16)(x^2+3)

 Exercise

$2\left(x^2-16\right)\left(x^2+3\right)$

 

Multiply the single term $2\left(x^2+3\right)$ by each term of the polynomial $\left(x^2-16\right)$

$2x^2\left(x^2+3\right)-32\left(x^2+3\right)$

 

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

$2x^2\cdot x^2+6x^2-32\left(x^2+3\right)$

 

When multiplying exponents with same base we can add the exponents

$2x^{4}+6x^2-32\left(x^2+3\right)$

 

Multiply the single term $-32$ by each term of the polynomial $\left(x^2+3\right)$

$2x^{4}+6x^2-32x^2-96$

 

Combining like terms $6x^2$ and $-32x^2$

$2x^{4}-26x^2-96$

$2x^{4}-26x^2-96$

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