题目内容
化简:(x+y)+(2x+
y)+(3x+
y)+…+(9x+
y),并求当x=2,y=9时式子的值.
| 1 |
| 1×2 |
| 1 |
| 2×3 |
| 1 |
| 8×9 |
原式=(x+2x+3x+…+9x)+(1+
+
+…+
)y
=45x+(1+1-
+
-
+
-
+…+
-
)y
=45x+
y,
当x=2,y=9时,
原式=45×2+
×9
=107.
| 1 |
| 1×2 |
| 1 |
| 2×3 |
| 1 |
| 8×9 |
=45x+(1+1-
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 8 |
| 1 |
| 9 |
=45x+
| 17 |
| 9 |
当x=2,y=9时,
原式=45×2+
| 17 |
| 9 |
=107.
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