Solve the product (m^2+6)(m^2-2)

 Exercise

$\left(m^2+6\right)\cdot\left(m^2-2\right)$

 

Multiply the single term $m^2-2$ by each term of the polynomial $\left(m^2+6\right)$

$m^2\left(m^2-2\right)+6\left(m^2-2\right)$

 

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

$m^2\cdot m^2-2m^2+6\left(m^2-2\right)$

 

When multiplying exponents with same base we can add the exponents

$m^{4}-2m^2+6\left(m^2-2\right)$

 

Multiply the single term $6$ by each term of the polynomial $\left(m^2-2\right)$

$m^{4}-2m^2+6m^2-12$

 

Combining like terms $-2m^2$ and $6m^2$

$m^{4}+4m^2-12$

$m^{4}+4m^2-12$

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