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OpenStudy (anonymous):

Simplify x/(2x+3) - 4/(5x-1)

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OpenStudy (anonymous):

The easiest way to simplify is to combine both fractions into a common denominator. I suggest using the "cross-multiply / straight multiply" method. Consider this example: \[\frac23-\frac45=\frac{2*5-4*3}{3*5}=\frac{10-12}{15}=\frac{-2}{15}\] See how you "cross-multiply" numerators & denominators to create the new numerator in the combined fraction, but you multiply "straight-across" the denominators to get the new denominator? Try this with the expression you have and see what you get. Keep in mind you have to distribute carefully!

OpenStudy (anonymous):

So does if simplify to5x^2-9x-12/(2x+3)(5x-1)

OpenStudy (anonymous):

Yes, that looks correct. Well done!

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