How do you simplify (x+1)(x^{2}+x+1)?

dojilaew1

dojilaew1

Answered question

2022-02-06

How do you simplify (x+1)(x2+x+1)?

Answer & Explanation

Skaftau0k

Skaftau0k

Beginner2022-02-07Added 10 answers

Explanation:
To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.
(x+1)(x2+x+1) becomes:
(x×x2)+(x×x)+(x×1)+(1×x2)+(1×x)+(1×1)
x3+x2+x+x2+x+1
We can now group and combine like terms:
x3+x2+x2+x+x+1
x3+1x2+1x2+1x+1x+1
x3+(1+1)x2+(1+1)x+1
x3+2x2+2x+1

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