Expand the expression (2+5x^2)(-2x+4a)

 Exercise

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

 

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

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

 

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

$-4x+8a+5x^2\left(-2x+4a\right)$

 

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

$-4x+8a-10x\cdot x^2+20ax^2$

 

When multiplying exponents with same base you can add the exponents: $-10x\cdot x^2$

$-4x+8a-10x^{3}+20ax^2$

$-4x+8a-10x^{3}+20ax^2$

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