How do you simplify #\frac { 1m - 6} { m ^ { 2} + 5m - 24} - \frac { 5} { m + 8}#?
1 Answer
Jan 7, 2018
Explanation:
#"before we can subtract the fractions we require them"#
#"to have a "color(blue)"common denominator"#
#"factorise "m^2+5m-24=(m+8)(m-3)#
#rArr(m-6)/((m+8)(m-3))-5/(m+8)#
#"multiply numerator/denominator of "5/(m+8)" by "#
#(m-3)#
#=(m-6)/((m+8)(m-3))-(5(m-3))/((m+8)(m-3))#
#"simplify the numerator leaving the denominator"#
#=(m-6-5m+15)/((m+8)(m-3))#
#=(9-4m)/((m+8)(m-3))#
