How do you simplify the rational expression: #(m^2+10m+24)/(m+4)#?

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Answer 1 · 2018-04-26T11:48:21

#m+6#

#(m^2+10m+24)/(m+4)#

In simplifying algebraic fractions, always try to factorise first.
The quadratic trinomial has two factors:

#= ((m+6)cancel((m+4)))/cancel((m+4))#

#=m+6#

Answer 2 · 2018-04-26T11:48:56

#(m^2+10m+24)/(m+4)=color(blue)(m+6#

Simplify:

#(m^2+10m+24)/(m+4)#

Factor the numerator.

#((m+4)(m+6))/(m+4)#

Cancel #m+4# in the numerator and denominator.

#(color(red)cancel(color(black)((m+4)))(m+6))/color(red)cancel(color(black)(m+4))#

Simplify.

#m+6#