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

Krystal Villanueva

Krystal Villanueva

Answered question

2022-01-31

What is the standard form of y=(x24)(2x4)(2x+5)2?

Answer & Explanation

narodiloxe4

narodiloxe4

Beginner2022-02-01Added 19 answers

Explanation:
y=(x24)(2x4)(2x+5)2
y=((x2)(2x)+(4)(2x)+(x2)(4)+(4)(4))
((2x)2+2(2x)(5)+(5)2)
y=2x38x4x2+164x220x25
y=2x38x228x9 (Ans)
laiedkn

laiedkn

Beginner2022-02-02Added 15 answers

Explanation:
We have to expand a bunch:
(x24)(2x4)=2x34x28x+16
(2x+5)2=4x2+20x+25
Start with:
(x24)(2x4)(2x+5)2
Replace with expansions:
=2x34x28x+16(4x2+20x+25)
Distribute the negative:
=2x34x28x+164x220x25
Collect like terms:
=2x38x228x9
So our final answer is y=2x38x228x9

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