Expand the binomial. Use Pascal's triangle to find the coefficients. $$( 2 + y ) ^ { 4 }$$
A) $16 + 8 y + 4 y ^ { 2 } + 2 y ^ { 3 } + y ^ { 4 }$
B) $16 + 32 y + 24 y ^ { 2 } + 8 y ^ { 3 } + y ^ { 4 }$
C) $16 + 4 y + 6 y ^ { 2 } + 4 y ^ { 3 } + y ^ { 4 }$
D) $16 + y ^ { 4 }$

Question

Quizplus · Accepted Answer

The coefficients for the expansion of $(a + b)^4$ can be found in the 5th row of Pascal's triangle, which are 1, 4, 6, 4, 1. Applying these to the binomial $(2 + y)^4$, the expansion is $16 + 32y + 24y^2 + 8y^3 + y^4$, matching option B.

Expand the Binomial (2+y)4( 2 + y ) ^ { 4 }(2+y)4

Expand the Binomial $( 2 + y ) ^ { 4 }$