因数 xy^2-by^2-ax+ab+y^2-a

解

因数

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

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

解答ステップ

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

共通項をくくり出す

x

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

書き換え

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

共通項をくくり出す

(y^{2} - a)

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

共通項をくくり出す

b

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

書き換え

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

共通項をくくり出す

(y^{2} - a)

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