Question

Find the product.

(a2 + 2a + 1)(a + 1)

Answer 1

A. a2 + 3a + 2
B. a3 + 3a2 + 3a + 1
C. a3 + 2a2 + a + 1
D. a3 + 3a2 + a + 1

Answer 2

is it A?

Answer 3

\[(a^2 + 2a + 1)(a + 1)\]
\[=a(a^2+2a+1)+(a^2+2a+1)\]
\[=a^3+2a^2+a+a^2+2a+1\]
\[=a^2+3a^2+3a+1\]

Answer 4

or another solution:
\[a^2+2a+1=(a+1)^2\]
\[(a+1)^2(a+1)=(a+1)^3=a^3+3a^2+3a+1\]