What is (xy+3x-2y-6)/(y^2+y-6) ?

The solution to (xy+3x-2y-6)/(y^2+y-6) is (x-2)/(y-2)

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simplify (xy+3x-2y-6)/(y^2+y-6)

simplify

\frac{x y + 3 x - 2 y - 6}{y ^{2} + y - 6}

\frac{x - 2}{y - 2}

Solution steps

\frac{x y + 3 x - 2 y - 6}{y ^{2} + y - 6}

Factor

x y + 3 x - 2 y - 6 : (y + 3) (x - 2)

= \frac{( y + 3 ) ( x - 2 )}{y ^{2} + y - 6}

Factor

y^{2} + y - 6 : (y - 2) (y + 3)

= \frac{( y + 3 ) ( x - 2 )}{( y - 2 ) ( y + 3 )}

Cancel the common factor:

y + 3

= \frac{x - 2}{y - 2}

5 - \frac{4}{3}

z^{1} + z^{2}

\frac{48}{20}

7 \cdot 24

- 121 + - 81 - 100 + - 16

What is (xy+3x-2y-6)/(y^2+y-6) ?
The solution to (xy+3x-2y-6)/(y^2+y-6) is (x-2)/(y-2)