What is factor ax^2-b+bx^2-a ?

The solution to factor ax^2-b+bx^2-a is (1+x)(-1+x)(a+b)

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factor ax^2-b+bx^2-a

factor

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

(1 + x) (- 1 + x) (a + b)

Solution steps

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

Factor out common term

a

= a (x^{2} - 1) - b + b x^{2}

Factor

x^{2} - 1 : (x + 1) (x - 1)

= b x^{2} + a (x + 1) (x - 1) - b

Factor out common term

b

= a (1 + x) (- 1 + x) + b (- 1 + x^{2})

Factor

x^{2} - 1 : (x + 1) (x - 1)

= a (x + 1) (x - 1) + b (x + 1) (x - 1)

Factor out common term

(1 + x) (- 1 + x)

= (1 + x) (- 1 + x) (a + b)

csc (x^{3} - 5 x) d x

tan^{3} (x) + cot^{3} (x)

2 - 49

(x - 2) (x - 1) (x + 2) (x + 3) - 60

\frac{x}{x + 4 - 2}

What is factor ax^2-b+bx^2-a ?
The solution to factor ax^2-b+bx^2-a is (1+x)(-1+x)(a+b)