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

Answer:

$-\frac{1}{4}x^{2}+\frac{1}{2}x+2$

Step-by-step explanation:

In this problem we have

$(\frac{5}{8}x^{2} -\frac{1}{4}x+2)- (\frac{7}{8}x^{2} -\frac{3}{4}x)$

Group terms that contain the same variable

$(\frac{5}{8}x^{2} -\frac{1}{4}x+2)- (\frac{7}{8}x^{2} -\frac{3}{4}x)=(\frac{5}{8}x^{2}-\frac{7}{8}x^{2})+(-\frac{1}{4}x+\frac{3}{4}x)+(2)$

$=(-\frac{2}{8}x^{2})+(\frac{2}{4}x)+(2)$

Simplify

$=-\frac{1}{4}x^{2}+\frac{1}{2}x+2$