Answer:
[tex]-\frac{1}{4}x^{2}+\frac{1}{2}x+2[/tex]
Step-by-step explanation:
In this problem we have
[tex](\frac{5}{8}x^{2} -\frac{1}{4}x+2)- (\frac{7}{8}x^{2} -\frac{3}{4}x)[/tex]
Group terms that contain the same variable
[tex](\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)[/tex]
[tex]=(-\frac{2}{8}x^{2})+(\frac{2}{4}x)+(2)[/tex]
Simplify
[tex]=-\frac{1}{4}x^{2}+\frac{1}{2}x+2[/tex]
