问题
填空题
设a=
|
答案
∵a=
-1,即a+1=7
,7
∴3a3+12a2-6a-12=3(a3+4a2-2a-4)=3(a3+a2+3a2+3a-5a-5+1)
=3[a2(a+1)+3a(a+1)-5(a+1)+1]
=3×[(
-1)2×7
+3(7
-1)×7
-57
+1]7
=3(8
-14+21-37
-57
+1)7
=3×8
=24.
故答案为:24
设a=
|
∵a=
-1,即a+1=7
,7
∴3a3+12a2-6a-12=3(a3+4a2-2a-4)=3(a3+a2+3a2+3a-5a-5+1)
=3[a2(a+1)+3a(a+1)-5(a+1)+1]
=3×[(
-1)2×7
+3(7
-1)×7
-57
+1]7
=3(8
-14+21-37
-57
+1)7
=3×8
=24.
故答案为:24