The prime factorizations of the denominators of [image 1] and [image 2] are given:10r2 = 2(5)(r)(r)4r = 2(2)(r)What is the LCD of the expressions?

The LCD includes each prime factor to the greatest power appearing in either denominator. The factorizations show two factors of 2, one factor of 5, and two factors of r, so the LCD is 2² · 5 · r² = 20r². The correct choice is 20r².

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