What is factor a^2x-a^2y-b^2x+b^2y ?

The solution to factor a^2x-a^2y-b^2x+b^2y is (x-y)(a+b)(a-b)

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factor a^2x-a^2y-b^2x+b^2y

factor

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

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

Solution steps

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

Factor out common term

a^{2}

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

Factor out common term

b^{2}

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

Rewrite as

= (x - y) a^{2} - (x - y) b^{2}

Factor out common term

(x - y)

= (x - y) (a^{2} - b^{2})

Factor

a^{2} - b^{2} : (a + b) (a - b)

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

(x + y)^{3} - x^{3} - y^{3}

2 e - e^{2}

(4 b^{2} c^{4}) x

2 x^{n + 1} - 2 x^{n} + x^{n + 2}

\frac{x ^{2} - 6 x + 9}{x - 3}

What is factor a^2x-a^2y-b^2x+b^2y ?
The solution to factor a^2x-a^2y-b^2x+b^2y is (x-y)(a+b)(a-b)