Question

The sum of 'x' and 'y' is three times of their difference, then the value of 8xy/2 (x2 - y2) is

Answer 1

Answer:

According to question;

3(x+y)=x-y

3x+3y=x-y

2x=-4y

x/y=-2

In equation?

8xy/2(x²-y²)

Answer 2

Given :

X+Y=3(X-Y)

To find :

8xy/2(x^2-y^2)---(i)

-->

X+Y=3X-3Y

4Y=2X

X=2Y

substitute x in the equation (i)

8(2Y×Y)/2((2y)^2-y^2)

8(2y^2)/2(4y^2-y^2)

16y^2/2(3y^2)

8y^2/3Y^2

8/3=2.66=2.67~(approx.)