What is the #LCD# of #x/(2x+16)# and #(-4x)/(3x-27)#?

1 Answer
Jim G.
Nov 11, 2017

#6(x+8)(x-9)#

Explanation:

#"factorise both denominators"#

#2x+16=2(x+8)larrcolor(blue)"common factor of 2"#

#3x-27)=3(x-9)larrcolor(blue)"common factor of 3"#

#"the "color(blue)"lowest common multiple ""(LCM)"#

#"of 2 and 3 "=2xx3=6#

#"of "(x+8)" and "(x-9)=(x+8)(x-9)#

#rArrLCD=6(x+8)(x-9)#

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