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【1】a-2b+3c=7①
4a+3b-2c=3②
①+② 得 5a+b+c=10③
①×4-② 得 -11b+14c=25④
③-④ 得 5a+12b-13c=10-25=-15
【2】3a^6+12a^4-a^3+12a^2-2a-4
=3a^3(a^3+4a)+12a^2-2-(a^3+2a+2)
=3a^3(2a-2)+12a^2-2
=6a^4-6a^3+12a^2-2
=6a(a^3+2a)-6a^3-2
=-12a-6a^3-2
=-6(a^3+2a)-2
=12-2
=10