Find the least common denominator (LCD). $$\frac { 10 x } { x + 10 } , \frac { 17 } { x ^ { 2 } - 100 }$$
A) $x - 10$
B) $x + 10$
C) $x ^ { 2 } - 100$
D) $( x + 10 ) \left( x ^ { 2 } - 100 \right)$

Question

Quizplus · Accepted Answer

The least common denominator is $x^2 - 100$ because it is the factorized form of the denominator of the second fraction and includes the factor $x + 10$ from the first fraction as $x^2 - 100 = (x + 10)(x - 10)$.

Find the Least Common Denominator (LCD) 10xx+10,17x2−100\frac { 10 x } { x + 10 } , \frac { 17 } { x ^ { 2 } - 100 }x+1010x​,x2−10017​

Find the Least Common Denominator (LCD) $\frac { 10 x } { x + 10 } , \frac { 17 } { x ^ { 2 } - 100 }$