Mister Exam
Factor polynomial y^2-x*y+3*x-y-6
The solution
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2 y - x*y + 3*x - y - 6
$$\left(- y + \left(3 x + \left(- x y + y^{2}\right)\right)\right) - 6$$
y^2 - x*y + 3*x - y - 6
General simplification
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2 -6 + y - y + 3*x - x*y
$$- x y + 3 x + y^{2} - y - 6$$
-6 + y^2 - y + 3*x - x*y
Factorization
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(x + -2 - y)*(y - 3)
$$\left(x + \left(- y - 2\right)\right) \left(y - 3\right)$$
(x - 2 - y)*(y - 3)
Rational denominator
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2 -6 + y - y + 3*x - x*y
$$- x y + 3 x + y^{2} - y - 6$$
-6 + y^2 - y + 3*x - x*y
Common denominator
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2 -6 + y - y + 3*x - x*y
$$- x y + 3 x + y^{2} - y - 6$$
-6 + y^2 - y + 3*x - x*y
Combinatorics
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-(-3 + y)*(-2 + x - y)
$$- \left(y - 3\right) \left(x - y - 2\right)$$
-(-3 + y)*(-2 + x - y)
Combining rational expressions
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-6 - y + 3*x + y*(y - x)
$$3 x + y \left(- x + y\right) - y - 6$$
-6 - y + 3*x + y*(y - x)
Trigonometric part
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2 -6 + y - y + 3*x - x*y
$$- x y + 3 x + y^{2} - y - 6$$
-6 + y^2 - y + 3*x - x*y
Assemble expression
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2 -6 + y - y + 3*x - x*y
$$- x y + 3 x + y^{2} - y - 6$$
2 -6 + y + 3*x + y*(-1 - x)
$$3 x + y^{2} + y \left(- x - 1\right) - 6$$
2 -6 + y - y + x*(3 - y)
$$x \left(3 - y\right) + y^{2} - y - 6$$
-6 + y^2 - y + x*(3 - y)