Perform the indicated operations.
-$\left( 14 y ^ { 2 } + 5 \right) - \left( - 14 y ^ { 4 } - 7 y ^ { 2 } + 5 \right)$
A) $14 y ^ { 4 } + 21 y ^ { 2 }$
B) $14 y ^ { 4 } + 21 y ^ { 2 } - 10$
C) $35 y ^ { 6 }$
D) $- 14 y ^ { 4 } + 7 y ^ { 2 } + 10$

Question

Quizplus · Accepted Answer

Subtracting the second polynomial from the first involves changing the signs of the terms in the second polynomial and then combining like terms. The correct subtraction gives $14y^4 + 21y^2$, as the $14y^4$ comes from negating $-14y^4$, and $21y^2$ results from adding $14y^2$ and $-(-7y^2)$. The constant terms $+5$ and $-5$ cancel each other out.

Perform the Indicated Operations (14y2+5)−(−14y4−7y2+5)\left( 14 y ^ { 2 } + 5 \right) - \left( - 14 y ^ { 4 } - 7 y ^ { 2 } + 5 \right)(14y2+5)−(−14y4−7y2+5)

Perform the Indicated Operations $\left( 14 y ^ { 2 } + 5 \right) - \left( - 14 y ^ { 4 } - 7 y ^ { 2 } + 5 \right)$