MATH SOLVE

2 months ago

Q:
# Please Help quicklyWhat is the binomial expansion of (x + 2)4? a. x4 + 4x3 + 6x2 + 4x + 1 b. 8x3 + 24x2 + 32x c. x4 + 8x3 + 24x2 + 32x + 16 d. 2x4 + 8x3 + 12x2 + 8x + 2

Accepted Solution

A:

Explanation:Write out the 5th row of Pascal's triangle as a sequence:1,4,6,4,1Write out the powers of 2 from 24 down to 20:16,8,4,2,1Multiply the two sequences together to get:16,32,24,8,1These are the coefficients of the binomial expansion:(2+x)4=16+32x+24x2+8x3+x4