Expand the expression (-x+2)(x+12)

 Exercise

$\left(-x+2\right)\left(x+12\right)$

 

Multiply the single term $x+12$ by each term of the polynomial $\left(-x+2\right)$

$-x\left(x+12\right)+2\left(x+12\right)$

 

Multiply the single term $-x$ by each term of the polynomial $\left(x+12\right)$

$-x\cdot x-12x+2\left(x+12\right)$

 

When multiplying two powers that have the same base ($x$), you can add the exponents

$-x^2-12x+2\left(x+12\right)$

 

Multiply the single term $2$ by each term of the polynomial $\left(x+12\right)$

$-x^2-12x+2x+24$

 

Combining like terms $-12x$ and $2x$

$-x^2-10x+24$

$-x^2-10x+24$

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