How do you multiply (x+4)^{3}?

MMDCCVIII446

MMDCCVIII446

Answered question

2022-02-11

How do you multiply (x+4)3?

Answer & Explanation

Branden Nelson

Branden Nelson

Beginner2022-02-12Added 12 answers

Given: (x+4)3
(x+4)3=(x+4)(x+4)(x+4)
Using foil and (a+b)2=a2+2ab+b2:
(x+4)3=(x2+8x+16)(x+4)
=x3+8x2+16x+4x2+32x+64
Add like terms:
(x+4)3=x3+12x2+48x+64
Sterling Mcdaniel

Sterling Mcdaniel

Beginner2022-02-13Added 10 answers

Given a factor (x+a)3 the expansion is
x3+(a+a+a)x2+(a2+a2+a2)x+a3
here a=4
(x+4)3
=x3+(4+4+4)x2+(42+42+42)x+43
=x3+12x2+(16+16+16)x+64
=x3+12x2+48x+64

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