How do you combine $(5x-1)/((2x+9)(x-6))-(3x-6)/((2x+9)(x-6))$ ?

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Answer 1 · 2017-04-02T15:46:10

$(2x+5)/((2x+9)(x-6))$

Since both have the same denominator you can directly add/subtract the numerators:

$((5x - 1) - (3x-6))/((2x+9)(x-6))$

Make sure to distribute the negative correctly:
$(5x - 1 - 3x+6)/((2x+9)(x-6)) = ((5x-3x)+(-1+6))/((2x+9)(x-6))$

$= (2x+5)/((2x+9)(x-6))$

How do you combine (5x-1)/((2x+9)(x-6))-(3x-6)/((2x+9)(x-6))(5x-1)/((2x+9)(x-6))-(3x-6)/((2x+9)(x-6))?