Multiply.
-$5 x ^ { 2 } \left( 6 x ^ { 2 } + 3 x - 7 \right)$
A) $30 x ^ { 4 } + 15 x - 35$
B) $11 x ^ { 4 } + 8 x - 2$
C) $30 x ^ { 4 } + 15 x ^ { 3 } - 35 x ^ { 2 }$
D) $30 x ^ { 4 } + 15 x ^ { 2 } - 35$

Question

Quizplus · Accepted Answer

To multiply $5x^2$ by each term inside the parentheses, apply the distributive property: $5x^2 \times 6x^2 = 30x^4$, $5x^2 \times 3x = 15x^3$, and $5x^2 \times (-7) = -35x^2$. Combining these gives $30x^4 + 15x^3 - 35x^2$.

Multiply - 5x2(6x2+3x−7)5 x ^ { 2 } \left( 6 x ^ { 2 } + 3 x - 7 \right)5x2(6x2+3x−7)

Multiply
- $5 x ^ { 2 } \left( 6 x ^ { 2 } + 3 x - 7 \right)$