Multiply.
-$$- 9 x ^ { 5 } \left( - 5 x ^ { 5 } + 6 x ^ { 4 } + 2 \right)$$
A) $45 x ^ { 10 } - 54 x ^ { 9 } - 18 x ^ { 5 }$
B) $45 x ^ { 5 } - 54 x ^ { 4 } - 18$
C) $45 x ^ { 10 } + 6 x ^ { 4 } + 2$
D) $45 x ^ { 10 } - 54 x ^ { 9 }$

Question

Quizplus · Accepted Answer

To multiply the two expressions, we use the distributive property of multiplication over addition/subtraction. We first multiply -9x^5 with -5x^5, which gives us 45x^10 (note that when we multiply two negative numbers, we get a positive product). Then we multiply -9x^5 with 6x^4, which gives us -54x^9 (note that when we multiply a negative number with a positive number, we get a negative product). Finally, we multiply -9x^5 with 2, which gives us -18x^5. Adding all three products, we get 45x^10 - 54x^9 - 18x^5, which is option A.

Multiply - −9x5(−5x5+6x4+2)- 9 x ^ { 5 } \left( - 5 x ^ { 5 } + 6 x ^ { 4 } + 2 \right)−9x5(−5x5+6x4+2)

Multiply
- $- 9 x ^ { 5 } \left( - 5 x ^ { 5 } + 6 x ^ { 4 } + 2 \right)$