Factor, using the given factor. Assume all variables represent positive real numbers.
-$$x ^ { 6 / 8 } + 3 x ^ { 5 / 8 } ; \quad x ^ { 5 / 8 }$$
A) $x 1 / 8 \left( x ^ { 6 / 8 } + 3 \right)$
B) $x ^ { 5 / 8 } \left( x ^ { 1 / 8 } + 3 \right)$
C) $x ^ { 1 / 8 } \left( x ^ { 1 / 8 } + 3 \right)$
D) $x ^ { 5 / 8 } \left( x ^ { - 1 / 8 } + 3 \right)$

Question

Quizplus · Accepted Answer

Factoring out $x^{5/8}$ from each term in the expression $x^{6/8} + 3x^{5/8}$ gives $x^{5/8}(x^{1/8} + 3)$, since $x^{6/8} = x^{5/8} \cdot x^{1/8}$.

Factor, Using the Given Factor x6/8+3x5/8;x5/8x ^ { 6 / 8 } + 3 x ^ { 5 / 8 } ; \quad x ^ { 5 / 8 }x6/8+3x5/8;x5/8

Factor, Using the Given Factor $x ^ { 6 / 8 } + 3 x ^ { 5 / 8 } ; \quad x ^ { 5 / 8 }$