Question

(a + 2b)3 = a3 + 6a2b +... Use the Binomial Theorem to complete the binomial expansion.; enter only the next two terms.

Answer 1

well the simple way is to use pascals triangle

the row where you see the cubics is

1 3 3 1

the power of a starts at 3 and decreases to zero

the power of 2b starts at 0 and increases to 3

\[(a + 2b)^3 = a^3(2b)^0 + 3a^2(2b) + 3a(2b)^2 +a^0 (2b)^3\]

just simplify it