因数 x^2b+a^2-ax^2-ab

解

因数

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

(b - a) (x^{2} - a)

解答ステップ

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

共通項をくくり出す

x^{2}

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

指数の規則を適用する:

a^{b + c} = a^{b} a^{c}

a^{2} = aa

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

共通項をくくり出す

a

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

書き換え

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

共通項をくくり出す

(b - a)

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