Krystal Villanueva

2022-02-01

What is the standard form of $y={\left(x+4\right)}^{3}-{\left(2x+3\right)}^{2}$?

Iacopelli5co

Expert

Explanation:
Standard form requires that the expression is a list of factors in decreasing order of powers.
Therefore we need to expand this expression and simplify.
$y=\left(x+4\right)\left({x}^{2}+8x+16\right)-\left(4{x}^{2}+12x+9\right)$
$y={x}^{3}+8{x}^{2}+16x+4{x}^{2}+32x+64-4{x}^{2}-12x-9$
$y={x}^{3}+8{x}^{2}+36x+55$

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