因数 a(b+c-d)-c(a-b+d)

解

因数

a (b + c - d) - c (a - b + d)

(b - d) (a + c)

解答ステップ

a (b + c - d) - c (a - b + d)

拡張

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

= ab + a c - a d - c (a - b + d)

拡張

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

= ab + a c - a d - a c + b c - c d

簡素化

ab + a c - a d - a c + b c - c d : ab - a d + b c - c d

= ab - a d + b c - c d

共通項をくくり出す

a

= a (b - d) + b c - c d

共通項をくくり出す

c

= a (b - d) + c (b - d)

共通項をくくり出す

(b - d)

= (b - d) (a + c)