What is (2x^2+x-15)/(ax+3a-2bx-6b) ?

The solution to (2x^2+x-15)/(ax+3a-2bx-6b) is (2x-5)/(a-2b)

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simplify (2x^2+x-15)/(ax+3a-2bx-6b)

simplify

\frac{2 x ^{2} + x - 15}{a x + 3 a - 2 b x - 6 b}

\frac{2 x - 5}{a - 2 b}

Solution steps

\frac{2 x ^{2} + x - 15}{a x + 3 a - 2 b x - 6 b}

Factor

2 x^{2} + x - 15 : (2 x - 5) (x + 3)

= \frac{( 2 x - 5 ) ( x + 3 )}{a x + 3 a - 2 b x - 6 b}

Factor

a x + 3 a - 2 b x - 6 b : (3 + x) (a - 2 b)

= \frac{( 2 x - 5 ) ( x + 3 )}{( 3 + x ) ( a - 2 b )}

Cancel the common factor:

x + 3

= \frac{2 x - 5}{a - 2 b}

33 - 9 i

15 x - 5

\frac{- 12 p ^{7} q ^{5}}{- 15 p q ^{2}}

(100)^{2}

cos^{2} (5 x) - sin^{2} (5 x)

What is (2x^2+x-15)/(ax+3a-2bx-6b) ?
The solution to (2x^2+x-15)/(ax+3a-2bx-6b) is (2x-5)/(a-2b)