Mathematics
Senior High
Resolved
次の問題で青線の移行がよく分からないのですがどなたか解説お願いします🙇♂️
13 次の式を因数分解せよ。
(1) (a+b)(b+c) (c+a) + abc
(2) a(b-c)2+b(c-a)²+c(a - b)²+8abc
(1) (a+b)(b+c) (c+a) + abc
==
=
(b+c){(a+b)(a+c)}+(bc)a
(b+c){a²+(b+c)a+bc}+(bc) a
(b+c)a²+{(b+c)²+bc}a+bc(b+c) <
=
=
{(b+c)a+bc}{a+(b+c)}
2
=
(a+b+c)(ab+bc+ca)
b+c
1
x
bc
b+c-
bc
(b+c)2
Answers
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理解できました!有り難う御座います!