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Prove (x+1)^(2)(x+2)=(x^3+3x+21x+1) no files
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3 votes
Prove
(x+1)^(2)(x+2)=(x^3+3x+21x+1) no files

User Derek Dysart
by
4.3k points

1 Answer

3 votes

Answer:

LHS ≠ RHS

Explanation:


LHS =\\\\=(x+1)^2 (x + 2) \\\\=(x^2 + 2x + 1)(x+2)\\\\=x(x^2 + 2x + 1) + 2(x^2 + 2x + 1) \\\\=(x^3 + 2x^2 + x ) + ( 2x^2 + 4x + 2) \\\\=x^3 + 2x^2 + x + 2x^2 + 4x + 2 \\\\=x^3 + 4x^2 + 5x + 2

User Ladmerc
by
4.8k points
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