Simplify the equation y=x(x+5)(x-9)

 Exercise

$y=x\left(x+5\right)\left(x-9\right)$

 

Multiplying polynomials $x$ and $x+5$

$y=\left(x^2+5x\right)\left(x-9\right)$

 

Multiplying polynomials $x^2+5x$ and $x-9$

$y=\left(x^2+5x\right)x-9\left(x^2+5x\right)$

 

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

$y=x^{3}+5x^2-9\left(x^2+5x\right)$

 

Multiply the single term $-9$ by each term of the polynomial $\left(x^2+5x\right)$

$y=x^{3}+5x^2-9x^2-45x$

 

Combining like terms $5x^2$ and $-9x^2$

$y=x^{3}-4x^2-45x$

$y=x^{3}-4x^2-45x$

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