Expand the expression (3x^2+2)(2x^2+7)

 Exercise

$\left(3x^2\:+\:2\right)\left(2x^2+7\right)$

 

Multiply the single term $2x^2+7$ by each term of the polynomial $\left(3x^2+2\right)$

$3x^2\left(2x^2+7\right)+2\left(2x^2+7\right)$

 

Multiply the single term $3x^2$ by each term of the polynomial $\left(2x^2+7\right)$

$6x^2\cdot x^2+21x^2+2\left(2x^2+7\right)$

 

When multiplying exponents with same base we can add the exponents

$6x^{4}+21x^2+2\left(2x^2+7\right)$

 

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

$6x^{4}+21x^2+4x^2+14$

 

Combining like terms $21x^2$ and $4x^2$

$6x^{4}+25x^2+14$

$6x^{4}+25x^2+14$

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