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Find the difference: :
2 3
X+ 10 +4
O
-X+ 38
(x+10) (x+4)
O
-x-22
(x+10) (x+4)
O
1
001 -
6


Find The Difference 2 3 X 10 4 O X 38 X10 X4 O X22 X10 X4 O 1 001 6 class=

Sagot :

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]

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