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)#