Solve the product (6x^2-81)(6x^2-40)

 Exercise

$\left(6x^2-81\right)\left(6x^2-40\right)$

 

Multiply the single term $6x^2-40$ by each term of the polynomial $\left(6x^2-81\right)$

$6x^2\left(6x^2-40\right)-81\left(6x^2-40\right)$

 

Multiply the single term $6x^2$ by each term of the polynomial $\left(6x^2-40\right)$

$36x^2\cdot x^2-240x^2-81\left(6x^2-40\right)$

 

When multiplying exponents with same base we can add the exponents

$36x^{4}-240x^2-81\left(6x^2-40\right)$

 

Multiply the single term $-81$ by each term of the polynomial $\left(6x^2-40\right)$

$36x^{4}-240x^2-486x^2+3240$

 

Combining like terms $-240x^2$ and $-486x^2$

$36x^{4}-726x^2+3240$

$36x^{4}-726x^2+3240$

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