What is factor 2x^3-2y^3-3x^2+3y^2 ?

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

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factor 2x^3-2y^3-3x^2+3y^2

factor

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

(x - y) (2 (x^{2} + y^{2} + x y) - 3 (x + y))

Solution steps

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

Factor out common term

2

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

Factor

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

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

Factor out common term

3

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

Factor

y^{2} - x^{2} : (y + x) (y - x)

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

Rewrite as

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

Factor out common term

(x - y)

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

3 x^{2} - 10 + 3

3 a x + 12 b x - 2 a y - 8 b y

x^{2} - 2 - 48

(sin (2 x)) - (sin (4 x))

(x + 1) - y^{2}

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