What is factor ax^2-3bxy-axy+3by^2 ?

The solution to factor ax^2-3bxy-axy+3by^2 is (ax-3by)(x-y)

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factor ax^2-3bxy-axy+3by^2

factor

a x^{2} - 3 b x y - a x y + 3 b y^{2}

(a x - 3 b y) (x - y)

Solution steps

a x^{2} - 3 b x y - a x y + 3 b y^{2}

Factor

a x^{2} - 3 b x y : x (a x - 3 b y)

Factor

- a x y + 3 b y^{2} : y (- a x + 3 b y)

= x (a x - 3 b y) + y (- a x + 3 b y)

Rewrite as

= (a x - 3 b y) x - (a x - 3 b y) y

Factor out common term

(a x - 3 b y)

= (a x - 3 b y) (x - y)

\frac{2 x ^{2} - x}{x}

[6.1176 E 47]

3 (x^{'})

2 a x + 2 b x - a x + 5 a - b y + 5 b

2 a p - 6 b p + a q - 3 b q

What is factor ax^2-3bxy-axy+3by^2 ?
The solution to factor ax^2-3bxy-axy+3by^2 is (ax-3by)(x-y)