计算:(a+2b-c)(a-2b+c)

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计算:(a+2b-c)(a-2b+c)

计算:(a+2b-c)(a-2b+c)
计算:(a+2b-c)(a-2b+c)

计算:(a+2b-c)(a-2b+c)
(a+2b-c)(a-2b+c)
=[a+(2b-c)][a-(2b-c)]
=a^2-(2b-c)^2
=a^2-(4b^2-4bc+c^2)
=a^2-4b^2+4bc-c^2

(a+2b-c)(a-2b+c)
=[a+(2b-c)][a-(2b-c)]
=a^2-(2b-c)^2
=a^2-4b^2-c^2+4bc

[a+(2b-c)][a-(2b-c)]
=a^2-(2b-c)^2
=a^2-4b^2-c^2+4bc

(a+2b-c)(a-2b+c)
=[a+(2b-c)][a-(2b-c)]
=a^2-(2b-c)^2
=a^2-(4b^2-4bc+c^2)
=a^2-4b^2+4bc-c^2