Write the binomial expansion of the expression.
-$$\left( 2 x ^ { 2 } - y \right) ^ { 5 }$$
A) $- 32 x^{ 10} + 80 x ^ { 8 } y - 80 x ^ { 6 } y ^ { 2 } + 40 x ^ { 4 } y ^ { 3 } - 10 x ^ { 2 } y ^ { 4 } + y ^ { 5 }$
B) $32 x ^ { 10 } - 80 x ^ { 8 } y + 80 x ^ { 6 } y ^ { 2 } - 40 x ^ { 4 } y ^ { 3 } + 10 x ^ { 2 } y ^ { 4 } - y ^ { 5 }$
C) $32 x ^ { 10 } - 80 x ^ { 8 } y - 80 x ^ { 6 } y ^ { 2 } - 40 x ^ { 4 } y ^ { 3 } - 10 x ^ { 2 } y ^ { 4 } - y ^ { 5 }$
D) $32 x ^ { 10 } + 80 x ^ { 8 } y + 80 x ^ { 6 } y ^ { 2 } + 40 x ^ { 4 } y ^ { 3 } + 10 x ^ { 2 } y ^ { 4 } + y ^ { 5 }$

Question

Quizplus · Accepted Answer

The correct expansion is obtained by applying the binomial theorem, which involves calculating the coefficients using combinations and raising each term to the appropriate power. The signs alternate because of the negative sign in front of the $y$ in the original expression.

Write the Binomial Expansion of the Expression (2x2−y)5\left( 2 x ^ { 2 } - y \right) ^ { 5 }(2x2−y)5

Write the Binomial Expansion of the Expression $\left( 2 x ^ { 2 } - y \right) ^ { 5 }$