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

Aarav Rangel

Aarav Rangel

Answered question

2022-01-31

What is the standard form of y=(2x2+5)(x2)+(x4)2?

Answer & Explanation

czapkowyrqo

czapkowyrqo

Beginner2022-02-01Added 7 answers

Explanation:
1.FOIL (First, Outer, Inner, Last) Distribute the binomials.
y=(2x2+5)(x2)+(x4)2
y=[(2x2x)+(2x22)+(5x)+(52)+(x4)(x4)]
y=(2x34x2+5x10)+(x28x+16)
2.Note: A quick shortcut to FOILing squared binomials (x4)2 is to square the first term, xx2, multiplying the first time by the last term and then doubling it, (x4)x42=8x, and then by squaring the last term,
(4)2=+16
(x4)2=x28x+16
3.Add like terms.
y=2x34x2+x2+5x8x10+16
y=2x23x23x6

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