展開する (a+b)(c+d)(e+f)(g+h)

解

展開する

(a + b) (c + d) (e + f) (g + h)

e a c g + e a c h + a c f g + a c f h + e a d g + e a d h + a df g + a df h + e b c g + e b c h + b c f g + b c f h + e b d g + e b d h + b df g + b df h

解答ステップ

(a + b) (c + d) (e + f) (g + h)

拡張

(a + b) (c + d) : a c + a d + b c + b d

= (a c + a d + b c + b d) (e + f) (g + h)

拡張

(a c + a d + b c + b d) (e + f) : e a c + a c f + e a d + a df + e b c + b c f + e b d + b df

= (e a c + a c f + e a d + a df + e b c + b c f + e b d + b df) (g + h)

拡張

(e a c + a c f + e a d + a df + e b c + b c f + e b d + b df) (g + h) : e a c g + e a c h + a c f g + a c f h + e a d g + e a d h + a df g + a df h + e b c g + e b c h + b c f g + b c f h + e b d g + e b d h + b df g + b df h

= e a c g + e a c h + a c f g + a c f h + e a d g + e a d h + a df g + a df h + e b c g + e b c h + b c f g + b c f h + e b d g + e b d h + b df g + b df h