How do you simplify #(m+9) /( m+3) - (-4m -6) / ( m+3)#?

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Answer 1 · 2016-09-10T13:41:07

#5#

We have: #(m + 9) / (m + 3) - (- 4 m - 6) / (m + 3)#

As the two fractions have the same denominator they can be subtracted:

#= (m + 9 - (- 4 m - 6)) / (m + 3)#

#= (m + 9 + 4 m + 6) / (m + 3)#

#= (5 m + 15) / (m + 3)#

The numerator can be factorised by taking #5# in common:

#= (5 (m + 3)) / (m + 3)#

#= 5#