What is the LCD of #\frac { 4x + 16} { x ^ { 2} + 5x + 6}# and #\frac { 5x + 15} { 10x + 20}#?

1 Answer
smendyka · Shwetank Mauria
Mar 6, 2017

The LCD is #10(x + 2)(x+3)#

Explanation:

You can factor the first fraction as:

#(4x + 6)/(x^2 + 5x + 6) = (4x + 6)/((x + 2)(x + 3))#

You can factor the second fraction as:

#(5x + 15)/(10x + 20) = (5x + 15)/(10(x + 2))#

Therefore, the LCD is #10(x + 2)(x + 3)#

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