Find the sum or difference.
-$2 x ^ { 2 } \left( 6 x ^ { 6 } + 4 x ^ { 4 } \right)$
A) $12 x ^ { 12 } + 8 x ^ { 8 }$
B) $12 x ^ { 8 } - 8 x ^ { 6 }$
C) $12 x ^ { 8 } + 8 x ^ { 6 }$
D) $12 x ^ { 8 } + 4 x ^ { 4 }$

Question

Quizplus · Accepted Answer

When multiplying terms with the same base, you add the exponents. Thus, $2x^2 * 6x^6 = 12x^{2+6} = 12x^8$ and $2x^2 * 4x^4 = 8x^{2+4} = 8x^6$, making the correct answer $12x^8 + 8x^6$.

Find the Sum or Difference 2x2(6x6+4x4)2 x ^ { 2 } \left( 6 x ^ { 6 } + 4 x ^ { 4 } \right)2x2(6x6+4x4)

Find the Sum or Difference $2 x ^ { 2 } \left( 6 x ^ { 6 } + 4 x ^ { 4 } \right)$