ishmalasif6919 ishmalasif6919

21-09-2020
Mathematics

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Expand (x+2)(x2+x+1)

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jimrgrant1 jimrgrant1

21-09-2020

Answer:

x³ + 3x² + 3x + 2

Step-by-step explanation:

Given

(x + 2)(x² + x + 1)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x + 1) + 2(x² + x + 1) ← distribute both parenthesis

= x³ + x² + x + 2x² + 2x + 2 ← collect like terms

= x³ + 3x² + 3x + 2

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