Simplify the rational expression. $\frac { x ^ { 4 } - 2 x ^ { 2 } - 48 } { 4 x ^ { 4 } + 29 x ^ { 2 } + 30 }$
A) $\frac { x ^ { 2 } - 8 } { 4 x ^ { 2 } + 5 }$
B) $\frac { x - 8 } { 4 x + 5 }$
C) $\frac { x + 8 } { 4 x + 5 }$
D) $\frac { x ^ { 2 } - 8 } { x ^ { 2 } + 5 }$

Question

Quizplus · Accepted Answer

Factor both the numerator and denominator, then cancel out any common factors. We can factor the numerator as $(x^2-8)(x^2+6)$ and the denominator as $(4x^2+5)(x^2+6)$. Cancelling out $(x^2+6)$ from both numerator and denominator, we are left with $\dfrac{x^2-8}{4x^2+5}$. Therefore, the correct option is A.

Simplify the Rational Expression x4−2x2−484x4+29x2+30\frac { x ^ { 4 } - 2 x ^ { 2 } - 48 } { 4 x ^ { 4 } + 29 x ^ { 2 } + 30 }4x4+29x2+30x4−2x2−48​

Simplify the Rational Expression $\frac { x ^ { 4 } - 2 x ^ { 2 } - 48 } { 4 x ^ { 4 } + 29 x ^ { 2 } + 30 }$