How do you expand (x-1)^3 ?

crealolobk

crealolobk

Answered question

2021-12-29

How do you expand (x1)3 ?

Answer & Explanation

veiga34

veiga34

Beginner2021-12-30Added 32 answers

Explanation:
note that
(x+a)3=x3+(a+a+a)x2+(a.a+a.a+a.a)x+a3
(x1)3a=1
(x1)3=x3+(111)x2+(1+1+1)x+(1)3
=x33x2+3x1
Paul Mitchell

Paul Mitchell

Beginner2021-12-31Added 40 answers

Use the Binomial Theorem.
x3+3x21+3x(1)2+(1)3
Simplify each term
Multiply -1 by 3.
x33x2+3x(1)2+(1)3
Raise -1 to the power of 2
x33x2+3x1+(1)3
Multiply 3 by 1.
x33x2+3x+(1)3
Raise -1 to the power of 3
x33x2+3x1
nick1337

nick1337

Expert2022-01-08Added 777 answers

Couldn't solve this issue for a week already. Thanks for the help!

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