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

alepososaait
2022-02-01
Answered

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

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liiipstick0j2

Answered 2022-02-02
Author has **14** answers

Explanation:

Multiply both factors:

$2{x}^{3}+9{x}^{2}-8x-36-({x}^{2}+10x+25)$

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:

$2{x}^{3}+(9{x}^{2}-{x}^{2})+(-8x-10x)+(-36-25)$

$2{x}^{3}+8{x}^{2}-18x-61$

Multiply both factors:

Distribute the negative sign through the terms in the parenthesis:

Consolidate like terms:

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