Solve the product (5b^2-2)(5b^2+4)

 Exercise

$\left(5b^2-2\right)\left(5b^2+4\right)$

 

Multiply the single term $5b^2+4$ by each term of the polynomial $\left(5b^2-2\right)$

$5b^2\left(5b^2+4\right)-2\left(5b^2+4\right)$

 

Multiply the single term $5b^2$ by each term of the polynomial $\left(5b^2+4\right)$

$25b^2\cdot b^2+20b^2-2\left(5b^2+4\right)$

 

When multiplying exponents with same base we can add the exponents

$25b^{4}+20b^2-2\left(5b^2+4\right)$

 

Multiply the single term $-2$ by each term of the polynomial $\left(5b^2+4\right)$

$25b^{4}+20b^2-10b^2-8$

 

Combining like terms $20b^2$ and $-10b^2$

$25b^{4}+10b^2-8$

$25b^{4}+10b^2-8$

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