题目内容
已知:a=
-2,b=
+2,分别求下列代数式的值:
(1)a2b-ab2
(2)a2+ab+b2.
| 3 |
| 3 |
(1)a2b-ab2
(2)a2+ab+b2.
(1)∵a=
-2,b=
+2,
∴a2b-ab2=ab(a-b)
=(
-2)(
+2)(
-2-
-2)
=[(
)2-22]•(-4)
=(-1)(-4)
=4;
(2)∵a=
-2,b=
+2,
∴a2+ab+b2=(a+b)2-ab
=(
-2+
+2)2-(
-2)(
+2)
=(2
)2-[(
)2-22]
=12+1
=13.
| 3 |
| 3 |
∴a2b-ab2=ab(a-b)
=(
| 3 |
| 3 |
| 3 |
| 3 |
=[(
| 3 |
=(-1)(-4)
=4;
(2)∵a=
| 3 |
| 3 |
∴a2+ab+b2=(a+b)2-ab
=(
| 3 |
| 3 |
| 3 |
| 3 |
=(2
| 3 |
| 3 |
=12+1
=13.
练习册系列答案
相关题目