Question

When 7/8x^2-3/4 x is subtracted from 5/8x^2-1/4x+2 the difference is?

Answer 1

7/8x²-3/4x - 5/8x²-1/4x+2

x²/4-x+2

Answer 2

`-(1)/(4)x^(2)+(1)/(2)x+2`

Explanation:

In this problem we have

`((5)/(8)x^(2) -(1)/(4)x+2)- ((7)/(8)x^(2) -(3)/(4)x)`

Group terms that contain the same variable

`((5)/(8)x^(2) -(1)/(4)x+2)- ((7)/(8)x^(2) -(3)/(4)x)=((5)/(8)x^(2)-(7)/(8)x^(2))+(-(1)/(4)x+(3)/(4)x)+(2)`

`=(-(2)/(8)x^(2))+((2)/(4)x)+(2)`

Simplify

`=-(1)/(4)x^(2)+(1)/(2)x+2`