# Rearranging formulaWatch

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#1
Please could someone explain to me how to get from:
-15x^2(5x-1)^(-2) + 6x(5x - 1)^(-1)

to:

3x(5x-2)(5x-1)^(-2)
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14 years ago
#2
(Original post by [email protected])
Please could someone explain to me how to get from:
-15x^2(5x-1)^(-2) + 6x(5x - 1)^(-1)

to:

3x(5x-2)(5x-1)^(-2)
take 3x(5x-1)^-1 as a common factor to get
3x(5x-1)^-1(-5x(5x-1)^(-1) + 2)
Now, multiply the numerator and denominator of the 2 by (5x-1) to get
3x(5x-1)^-1(-5x(5x-1)^(-1) + (10x-2)(5x-1)^-1)
Now you can add the term between brackets, so
3x(5x-1)^-1((5x-2).(5x-1)^-1)
Re-open the brackets by multiplying
you get 3x.(5x-2).(5x-1)^-2

I hope you can follow! There might be a shorter way to do it, but I'm too tired at this point.
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