(a-2b+c)的2次方+(3a-2b+c)(3a+2b-c)

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(a-2b+c)的2次方+(3a-2b+c)(3a+2b-c)
(a-2b+c)的2次方+(3a-2b+c)(3a+2b-c)

(a-2b+c)的2次方+(3a-2b+c)(3a+2b-c)
(a-2b+c)²+(3a-2b+c)(3a+2b-c)
=(a-2b+c)²+【3a-(2b-c)】【3a+(2b-c)】
=(a-2b+c)²+9a²-(2b-c)²
=(a-2b+c-2b+c)(a-2b+c+2b-c)+9a²
=a(a+2c)+9a²
=a²+2ac+9a²
=10a²+2ac
如果是分解因式
则=2a(5a+c)

(a-2b+c)的2次方+(3a-2b+c)(3a+2b-c)
=(a-2b+c)²+9a²-(2b-c)²
=a²-2a(2b-c)+(2b-c)²+9a²-(2b-c)²
=10a²-2a(2b-c)
=2a(5a-2b+c)

(a-2b+c)*(a-2b+c)+[3a-(2b-c)]{3a+(2b-c)]
=a*a-2ab+ac-2ab+4b-2bc+ac-2bc+2c+[3a*3a-(2b-c)平方]
=a*a-4ab+2ac-4bc+4b+2c+(9a*a-4b*b+4bc-c*c)
=10a*a-4ab+2ac+4b+2c-4b*b-c*c