Fractions are written as ratio of two expression. The difference between the fractions is [tex]\frac{-x -22}{(x+10)(x+4)}[/tex]
Difference of fractions
Given the following expression
[tex]\frac{2}{x+10} - \frac{3}{x+4}[/tex]
Find the LCM to have;
[tex]\frac{2(x+4)-3(x+10)}{(x+10)(x-4)}[/tex]
Simplify
[tex]=\frac{2x+8-3x-30}{(x+10)(x+4)} \\=\frac{-x -22}{(x+10)(x+4)}[/tex]
Hence the difference between the fractions is [tex]\frac{-x -22}{(x+10)(x+4)}[/tex]
Learn more on difference here: https://brainly.com/question/148825
#SPJ1
