Solve the problem.
-$$\frac { 1 } { 4 } x ^ { 4 } y ^ { 6 } ( 3 x - 10 y + 8 )$$
A) $\frac { 3 } { 4 } x ^ { 5 } y ^ { 6 } - \frac { 5 } { 2 } x ^ { 5 } y ^ { 7 } + 2 x ^ { 4 } y ^ { 6 }$
B) $\frac { 3 } { 4 } x ^ { 5 } y ^ { 6 } - \frac { 5 } { 2 } x ^ { 4 } y ^ { 7 } + 2 x ^ { 4 } y ^ { 6 }$
C) $\frac { 3 } { 4 } x ^ { 5 } y ^ { 6 } - \frac { 5 } { 2 } x ^ { 4 } y ^ { 7 } + 2$
D) $\frac { 1 } { 4 } x ^ { 4 } y ^ { 6 }$

Question

Quizplus · Accepted Answer

When multiplying the term $\frac{1}{4}x^4y^6$ by each term inside the parentheses $ (3x - 10y + 8) $, the exponents of $x$ and $y$ are added to those outside the parentheses, and the coefficients are multiplied by $\frac{1}{4}$. This results in option B.

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Solve the Problem $\frac { 1 } { 4 } x ^ { 4 } y ^ { 6 } ( 3 x - 10 y + 8 )$