Multiply.
-$$( x - 5 ) ( x + 5 ) \left( x ^ { 2 } + 25 \right)$$
A) $x ^ { 4 } + 10 x ^ { 3 } - 250 x - 625$
B) $x ^ { 4 } - 625$
C) $x ^ { 4 } + 50 x ^ { 2 } + 625$
D) $x ^ { 4 } + 10 x ^ { 3 } + 50 x ^ { 2 } - 250 x - 625$

Question

Quizplus · Accepted Answer

First, use the difference of squares formula on $(x - 5)(x + 5)$, which simplifies to $x^2 - 25$. Then, multiply this result by $(x^2 + 25)$ to get $x^4 - 625$.

Multiply - (x−5)(x+5)(x2+25)( x - 5 ) ( x + 5 ) \left( x ^ { 2 } + 25 \right)(x−5)(x+5)(x2+25)

Multiply
- $( x - 5 ) ( x + 5 ) \left( x ^ { 2 } + 25 \right)$