因数 ax-bx+cx+ay^2-by^2+cy^2

解

因数

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

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

解答ステップ

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

共通項をくくり出す

a

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

共通項をくくり出す

b

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

共通項をくくり出す

(y^{2} + x)

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

共通項をくくり出す

c

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

書き換え

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

共通項をくくり出す

(y^{2} + x)

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