Find the least common denominator for the expression.
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A) (x + 6)(x + 5)
B) (x + 3)(x - 6)(x + 5)
C) (x - 3)(x + 6)(x + 5)
D) (x - 3)(x + 6)

Question

Find the least common denominator for the expression.
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A) (x + 6)(x + 5) 
B) (x + 3)(x - 6)(x + 5) 
C) (x - 3)(x + 6)(x + 5) 
D) (x - 3)(x + 6)

Quizplus · Accepted Answer

Since we don't have any repeated factors in the given expression, the least common denominator will be the product of all the distinct factors. So, the least common denominator will be (x-3)(x+6)(x+5). This matches with option C. Looking at the expression, we can see that the denominators are (x-3), (x+6), and (x+5). The least common denominator would be the product of these three factors, which gives us (x-3)(x+6)(x+5), or choice C.

Find the Least Common Denominator for the Expression