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

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

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

factor

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

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

Solution steps

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

4 (a)^{2}

9 x^{2} + x^{2}

d (5 tan (5 x))

3 (29)

x^{2} + y^{2} + 3 x + 6 x + 9

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