SOLUTION: (x-a)/(a-b) - (x+b)/(a+b) = (2a(x-b))/(a^2-b^2) + (a-b)/(a+b)

Algebra.Com
Question 1105563: (x-a)/(a-b) - (x+b)/(a+b) = (2a(x-b))/(a^2-b^2) + (a-b)/(a+b)
Answer by Edwin McCravy(20066)   (Show Source): You can put this solution on YOUR website!


Factor aČ-bČ



To avoid denominators equaling 0, we must have the restrictions
that a ≠ b and a ≠ -b

Multiply through by LCD of (a-b)(a+b)







 



Divide through by -2











Edwin
RELATED QUESTIONS

Solve:- [(x-a)/(a-b)]-[(x+b)/(a+b)]={[2a(x-b)]/(a^2-b^2)}+[(a-b)/(a+b)] (answered by greenestamps)
2(a+b)(2a-b) (answered by MathLover1)
b+2a=2... (answered by venugopalramana)
2a=8... (answered by nabla,rapaljer)
2a=8 a + b... (answered by Maths68)
2a/(a+b)^2(a-b)+2b/(a+b)(a-b)^2-1/(a+b)^2-1/(a-b)^2 (answered by Maths68)
{{{ b/a + 7/(3 + 2a/x)... (answered by ad_alta)
Hi, can you please help me with this problem as well. Thank you! Solve. (x-a)/(a-b) -... (answered by Edwin McCravy)
If x=2a-b^2, then a... (answered by stanbon)