Write each fraction in terms of the LCD.

Question

x − 1/
x2 + 2x − 24

x/
x2 + 7x + 6

 

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x − 1/
x2 + 2x − 24 =

 

x/
x2 + 7x + 6=

 

Answer 1

x² + 2x -24 = (x-4)(x+6)

x² + 7x +6 = (x+1)(x+6)

The LCD = (x-4)(x+6)(x+1)

 

(x-1)/[(x-1)(x+6)] = (x² -1)/[(x-4)(x+6)(x+1)]

x/[(x-4)(x+6)] = x(x-4)/[(x-4)(x+6)(x+1)]