展開する (cx^2+bx+a)(fx^2+ex+d)

解

展開する

(c x^{2} + b x + a) (f x^{2} + e x + d)

c x^{4} f + ec x^{3} + c d x^{2} + b x^{3} f + e b x^{2} + b d x + a x^{2} f + e a x + a d

解答ステップ

(c x^{2} + b x + a) (f x^{2} + e x + d)

= (c x^{2} + b x + a) (x^{2} f + e x + d)

括弧を分配する

= c x^{2} f x^{2} + c x^{2} e x + c x^{2} d + b x f x^{2} + b x e x + b x d + a f x^{2} + a e x + a d

= c x^{2} x^{2} f + ec x^{2} x + c d x^{2} + b x^{2} x f + e b xx + b d x + a x^{2} f + e a x + a d

簡素化

c x^{2} x^{2} f + ec x^{2} x + c d x^{2} + b x^{2} x f + e b xx + b d x + a x^{2} f + e a x + a d : c x^{4} f + ec x^{3} + c d x^{2} + b x^{3} f + e b x^{2} + b d x + a x^{2} f + e a x + a d

= c x^{4} f + ec x^{3} + c d x^{2} + b x^{3} f + e b x^{2} + b d x + a x^{2} f + e a x + a d