Find the LCD of the given rational expressions.
-$$\frac { 3 } { x ^ { 2 } + 11 x + 30 } , \frac { 4 } { 2 x + 10 }$$
A) $2 ( x + 6 ) ( x + 5 )$
B) $2 ( x + 6 ) ( x - 5 )$
C) $2 ( x - 6 ) ( x + 5 )$
D) $2 ( x - 6 ) ( x - 5 )$

Question

Quizplus · Accepted Answer

The LCD of the given rational expressions is found by factoring each denominator and then taking the product of the highest power of each factor found in the denominators. The first denominator $x^2 + 11x + 30$ factors into $(x + 6)(x + 5)$. The second denominator $2x + 10$ factors into $2(x + 5)$. The LCD is the product of all distinct factors taken to their highest power, which is $2(x + 6)(x + 5)$.

Find the LCD of the Given Rational Expressions 3x2+11x+30,42x+10\frac { 3 } { x ^ { 2 } + 11 x + 30 } , \frac { 4 } { 2 x + 10 }x2+11x+303​,2x+104​

Find the LCD of the Given Rational Expressions $\frac { 3 } { x ^ { 2 } + 11 x + 30 } , \frac { 4 } { 2 x + 10 }$