Solve the product (m^2+7)(m^2-8)

 Exercise

$\left(m^2+7\right)\left(m^2-8\right)$

 

Multiply the single term $m^2-8$ by each term of the polynomial $\left(m^2+7\right)$

$m^2\left(m^2-8\right)+7\left(m^2-8\right)$

 

Multiply the single term $m^2$ by each term of the polynomial $\left(m^2-8\right)$

$m^2\cdot m^2-8m^2+7\left(m^2-8\right)$

 

When multiplying exponents with same base we can add the exponents

$m^{4}-8m^2+7\left(m^2-8\right)$

 

Multiply the single term $7$ by each term of the polynomial $\left(m^2-8\right)$

$m^{4}-8m^2+7m^2-56$

 

Combining like terms $-8m^2$ and $7m^2$

$m^{4}-m^2-56$

$m^{4}-m^2-56$

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