What is factor ax^2+bx^2-ay^2-by^2 ?

The solution to factor ax^2+bx^2-ay^2-by^2 is (x+y)(x-y)(a+b)

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factor ax^2+bx^2-ay^2-by^2

factor

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

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

Solution steps

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

Factor out common term

a

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

Factor

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

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

Factor out common term

b

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

Factor

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

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

Factor out common term

(x + y) (x - y)

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

3^{4}

x^{2} + x z + x y + yz

m^{2} + mn + m q + n q

[- 9.5]

21 p x - 7 q x + 6 p y - 2 q y

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