因式分解a2+b2+c2-2ab-2bc+2ac

来源:学生作业帮助网 编辑:作业帮 时间:2024/10/04 16:06:14
因式分解a2+b2+c2-2ab-2bc+2ac
xM @ j @ӹXHA Fp%zBw^Xޗp< am˙ P#Q$ k)?w~oQ[#$-jGC57MU΄"\8SDD ŋ2H`Y͆q_0rl

因式分解a2+b2+c2-2ab-2bc+2ac
因式分解a2+b2+c2-2ab-2bc+2ac

因式分解a2+b2+c2-2ab-2bc+2ac
a2+b2+c2-2ab-2bc+2ac=(a-b)^2+2c(a-b)+c^2=(a-b+c)^2

(a-b+c)^2

a" + b" + c" - 2ab - 2bc + 2ac
= a" + 2ac + c" - 2ab - 2bc + b"
= ( a + c )" - 2b( a + c ) + b"
= [ ( a + c ) - b ]"
= ( a - b + c )"