How do you combine \frac { 3h - 3} { 6h ^ { 2} - 17} - \frac { 5h } { 6h ^ { 2} - 17} into one term?

1 Answer
Mar 7, 2018

(3h-3)/(6h^2-17)-(5h)/(6h^2-17)=(-2h-3)/(6h^2-17)

Explanation:

(3h-3)/(6h^2-17)+(-5h)/(6h^2-17)

Both fractions have a common denominator so add the top and keep the bottom the same

(3h-3-5h)/(6h^2-17)

Collect like terms

(-2h-3)/(6h^2-17)

If you want to factor out the negative sign from the top to get

-(2h+3)/(6h^2-17)