Expand the expression (x^3+2)(4x+5)

 Exercise

$\left(x^3+2\right)\left(4x+5\right)$

 

Multiply the single term $4x+5$ by each term of the polynomial $\left(x^3+2\right)$

$x^3\left(4x+5\right)+2\left(4x+5\right)$

 

Multiply the single term $x^3$ by each term of the polynomial $\left(4x+5\right)$

$4x\cdot x^3+5x^3+2\left(4x+5\right)$

 

When multiplying exponents with same base you can add the exponents: $4x\cdot x^3$

$4x^{4}+5x^3+2\left(4x+5\right)$

 

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

$4x^{4}+5x^3+8x+10$

$4x^{4}+5x^3+8x+10$

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