Carry out the indicated operations and simplify where possible: x(8x-8y)^-^1+y(8y-8x)^-^1

Question

Carry out the indicated operations and simplify where possible:


`x(8x-8y)^-^1+y(8y-8x)^-^1`

Answer 1

1/8

Explanation:

Solving in steps:

• x(8x - 8y)⁻¹ + y(8y - 8x)⁻¹ =
• x/8(x-y) +y/8*(-(x-y))
• x/8(x-y) - y/8(x-y) =
• (x -y)/8(x-y) =
• 1/8

Answer is 1/8