Expand the expression (x+5)(5x-8)

 Exercise

$\left(x+5\right)\left(5x-8\right)$

 

Multiply the single term $5x-8$ by each term of the polynomial $\left(x+5\right)$

$x\left(5x-8\right)+5\left(5x-8\right)$

 

Multiply the single term $x$ by each term of the polynomial $\left(5x-8\right)$

$5x\cdot x-8x+5\left(5x-8\right)$

 

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

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

 

Multiply the single term $5$ by each term of the polynomial $\left(5x-8\right)$

$5x^2-8x+25x-40$

 

Combining like terms $-8x$ and $25x$

$5x^2+17x-40$

$5x^2+17x-40$

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