What is the difference? StartFraction x + 5 Over x + 2 EndFraction minus StartFraction x + 1 Over x squared + 2 x EndFraction

Question

asked Dec 28, 2021 213k views

2 Answers

Lllllllllllll · Answer 1 · 2022-01-02T05:56:42+0000

Answer:

(x^2+4x-1)/(x(x+2))

Explanation:

Given

(x+5)/(x+2) -
(x+1)/(x^2+2x) ← factor denominator

=
(x+5)/(x+2) -
(x+1)/(x(x+2))

We require the fractions to have a common denominator.

Multiply numerator/denominator of first fraction by x

=
(x(x+5))/(x(x+2)) -
(x+1)/(x(x+2))

Subtract terms on numerator leaving the common denominator

=
(x^2+5x-x-1)/(x(x+2))

=
(x^2+4x-1)/(x(x+2))