Solve the product (-x+17)(-x-23)

 Exercise

$\left(-x+17\right)\left(-x-23\right)$

 

Multiply the single term $-x-23$ by each term of the polynomial $\left(-x+17\right)$

$-x\left(-x-23\right)+17\left(-x-23\right)$

 

Multiply the single term $-x$ by each term of the polynomial $\left(-x-23\right)$

$x\cdot x+23x+17\left(-x-23\right)$

 

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

$x^2+23x+17\left(-x-23\right)$

 

Multiply the single term $17$ by each term of the polynomial $\left(-x-23\right)$

$x^2+23x-17x-391$

 

Combining like terms $23x$ and $-17x$

$x^2+6x-391$

$x^2+6x-391$

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