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Popular >

expand (a+1)(a^2-a+1)

Solution

expand

(a + 1) (a^{2} - a + 1)

Solution

a^{3} + 1

Solution steps

(a + 1) (a^{2} - a + 1)

Distribute parentheses

= a a^{2} + a (- a) + a \cdot 1 + 1 \cdot a^{2} + 1 \cdot (- a) + 1 \cdot 1

Simplify

a a^{2} + a (- a) + a \cdot 1 + 1 \cdot a^{2} + 1 \cdot (- a) + 1 \cdot 1 : a^{3} + 1

= a^{3} + 1

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Frequently Asked Questions (FAQ)

What is expand (a+1)(a^2-a+1) ?
The solution to expand (a+1)(a^2-a+1) is a^3+1