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Please help, I have been trying for a while :(

question on photo​

Please help, I have been trying for a while :( question on photo​-example-1
User Mhawke
by
4.6k points

1 Answer

3 votes

Answer:


(x-22)/((x+2)(x-4))

Explanation:

multiply the numerator/denominator of the first fraction by (x - 4)

multiply the numerator/denominator of the second fraction by (x + 2)

this ensures that the fractions have a common denominator


(4)/(x+2) -
(3)/(x-4)

=
(4(x-4))/((x+2)(x-4)) -
(3(x+2))/((x+2)(x-4)) ← subtract numerators leaving the common denominator

=
(4x-16-3x-6)/((x+2)(x-4))

=
(x-22)/((x+2)(x-4))

User Jobelle
by
4.8k points