Question

Factorize: a^3+1+2a^2+2a

Answer 1

Answer:

=$a^3+1+2a^2+2a$

=$\left(a+1\right)\frac{a^3+2a^2+2a+1}{a+1}$

=$(a+1)(a^2+\frac{a^2+2a+1}{a+1})$

=$(a+1)(a^2+a+\frac{a+1}{a+1})$

=$(a+1)(a^2+a+1)$

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