Question

if a+b=2c then what is the value of a/a-c + c/b-c

Answer 1

Hii mate

Here is Ur answer

a+b=2c

Multiply both sides by c

(a+b)c=2c2

Add 2ab−2ac−2bc to both sides

ac+bc+2ab−2ac−2bc=2c2+2ab−2ac−2bc

Rearranging:

2ab−ac−bc=2ab−2ac−2bc+2c2

ab−ac+ab−bc=2(ab−ac−bc+c2)

a(b−c)+b(a−c)=2[(b−c)a−(b−c)c]

a(b−c)+b(a−c)=2(a−c)(b−c)

Divide by (a−c)(b−c) throughout

Hope it will help you

Answer 2

$\frac{a}{a - c} + \frac{c}{b - c} \\ = \frac{ab - ac + ac - {c}^{2} }{ab - c(a + b)+ {c}^{2} } \\ = \frac{ab - {c}^{2} }{ab - 2 {c}^{2} + {c}^{2} } \\ = \frac{ab - {c}^{2} }{ab - {c}^{2} } \\ = 1$