(2a-b+c)^2-(3a+2b-c)^2分解因式

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(2a-b+c)^2-(3a+2b-c)^2分解因式

(2a-b+c)^2-(3a+2b-c)^2分解因式
(2a-b+c)^2-(3a+2b-c)^2分解因式

(2a-b+c)^2-(3a+2b-c)^2分解因式
(2a-b+c)^2-(3a+2b-c)^2
=[(2a-b+c)+(3a+2b-c)][(2a-b+c)-(3a+2b-c)]
=[2a-b+c+3a+2b-c][2a-b+c-3a-2b+c]
=(5a+b)(-a-3b+2c)

(2a-b+c)^2-(3a+2b-c)^2
=(2a-b+c+3a+2b-c)(2a-b+c-3a-2b+c)
=(5a+b)(2c-a-3b)

(2a-b+c)²-(3a+2b-c)²
=[(2a-b+c)+(3a+2b-c)][(2a-b+c)-(3a+2b-c)]
=(2a-b+c+3a+2b-c)(2a-b+c-3a-2b+c)
=(5a+b)(2c-a-3b)