Find the LCD for the list of rational expressions.
-$\frac { 4 x ^ { 2 } } { 4 x - 4 } , \frac { 6 x } { ( x - 1 ) ^ { 2 } }$
A)4(x + 1)
B)4(x - 1)
C)(x $( x - 1 ) ^ { 2 }$
D) $4 ( x - 1 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

The least common denominator (LCD) for the given rational expressions is found by identifying the least common multiple of their denominators. The denominators are $4x - 4$ and $(x - 1)^2$. Factoring $4x - 4$ gives $4(x - 1)$. Since $(x - 1)^2$ is already the squared form of the factor found in the first denominator, the LCD must include this squared factor to accommodate both denominators. Therefore, the LCD is $4(x - 1)^2$, which corresponds to option D.

Find the LCD for the List of Rational Expressions 4x24x−4,6x(x−1)2\frac { 4 x ^ { 2 } } { 4 x - 4 } , \frac { 6 x } { ( x - 1 ) ^ { 2 } }4x−44x2​,(x−1)26x​

Find the LCD for the List of Rational Expressions $\frac { 4 x ^ { 2 } } { 4 x - 4 } , \frac { 6 x } { ( x - 1 ) ^ { 2 } }$