Question

Cho x-y=9. Giá trị của biểu thức B= 4x-9/3x+y - 4y+9/3y+x ) là

Answer 1

\(x-y=9\Rightarrow x=9+y\)

=> \(B=\frac{4.\left(9+y\right)-9}{3.\left(9+y\right)+y}-\frac{4y+9}{3y+9+y}=\frac{36+4y-9}{27+3y+y}-\frac{4y+9}{4y+9}=\frac{27+4y}{27+4y}-1=1-1=0\)

Answer 2

 B=(4x-9)/(3x+y)-(4y+9)/(3y+x) 
= [4x-(x-y)]/(3x+y) - [4y+(x-y)]/(3y+x) 
= (4x-x+y)/(3x+y) - (4y+x-y)/(3y+x) 
= (3x+y)/(3x+y) - (3y+x)/(3y+x) 
= 1 - 1 = 0