SOLUTION: (x+5)^2/x^2+2x-15 + 2/4x-12 please show factoring, simplify and steps for LCM thank you kindly!

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Question 389739: (x+5)^2/x^2+2x-15 + 2/4x-12
please show factoring, simplify and steps for LCM thank you kindly!
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
(x+5)^2/(x^2+2x-15)+2/(4x-12)
factor denominator of first term and denominator of second term
(x+5)^2/(x+5)(x-3)+2/4(x-3)
(x+5)/(x-3)+1/2(x-3)
LCD or LCM =2(x-3)
multiplying each term by the LCD, combining like terms for the numerator, and placing the LCD in the denominator
(2(x+5)+1)/2(x-3)
2x+10+1/2(x-3)
ans: 2x+11/2(x-3) or (2x+11)/(2x-6)