Question

Gía trị cua biểu thức:

\(-\frac{4a-b}{3a+5}-\frac{3b-a}{2b-5}\) biết a-b = 5

Answer 1

ta có \(a-b=5\) \(\Rightarrow a=b+5;b=a-5\)

\(\Rightarrow-\frac{4a-b}{3a+5}-\frac{3b-a}{2b-5}\)

\(=-\frac{4a-\left(a-5\right)}{3a+5}-\frac{3b-\left(b+5\right)}{2b-5}\)

\(=-\frac{4a-a+5}{3a+5}-\frac{3b-b-5}{2b-5}\)

\(=-\frac{3a+5}{3a+5}-\frac{2b-5}{2b-5}=-1-1=-2\)