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

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Answer 1 · 2018-03-07T01:15:06

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

#(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)#