# What is the standard form of y=(x^{2}-4)(2x+9)-(x+5)^{2}?

What is the standard form of $y=\left({x}^{2}-4\right)\left(2x+9\right)-{\left(x+5\right)}^{2}$?
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Explanation:
Multiply both factors:
$2{x}^{3}+9{x}^{2}-8x-36-\left({x}^{2}+10x+25\right)$
Distribute the negative sign through the terms in the parenthesis:
$2{x}^{3}+9{x}^{2}-8x-36-{x}^{2}-10x-25$
Consolidate like terms:
$2{x}^{3}+\left(9{x}^{2}-{x}^{2}\right)+\left(-8x-10x\right)+\left(-36-25\right)$
$2{x}^{3}+8{x}^{2}-18x-61$