What is factor xy^2-by^2-ax+ab+y^2-a ?

The solution to factor xy^2-by^2-ax+ab+y^2-a is (y^2-a)(1+x-b)

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factor xy^2-by^2-ax+ab+y^2-a

factor

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

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

Solution steps

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

Factor out common term

x

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

Rewrite as

= (y^{2} - a) x - b y^{2} + ab + 1 \cdot (y^{2} - a)

Factor out common term

(y^{2} - a)

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

Factor out common term

b

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

Rewrite as

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

Factor out common term

(y^{2} - a)

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

3 - x \geq 5 (3 - x)

(\frac{x ^{5}}{x ^{3}})^{- 4}

2 x^{3} - x^{2} - 13 x - 6

x^{2} + 9 > 0

2 x^{2} - 22 x + 56

What is factor xy^2-by^2-ax+ab+y^2-a ?
The solution to factor xy^2-by^2-ax+ab+y^2-a is (y^2-a)(1+x-b)