①计算:
(1) $-(a+b)+(2a-b)$;
(2) $(x+2)(y+3)-(x+1)(y-2)$;
(3) $(2a+1)^2 - 2(2a+1)+3$;
(4) $(x+1)^2 - (x-1)(x+2)$。
(1) $-(a+b)+(2a-b)$;
(2) $(x+2)(y+3)-(x+1)(y-2)$;
(3) $(2a+1)^2 - 2(2a+1)+3$;
(4) $(x+1)^2 - (x-1)(x+2)$。
答案
1.(1) $a-2b$ (2) $5x+y+8$ (3) $4a^2+2$ (4) $x+3$
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② 解方程:
(1)$4(x + 0.5) + x = 20 - 3$;
(2)$2(x + 3) - 5(1 - x) = 3(x - 1)$.
(1)$4(x + 0.5) + x = 20 - 3$;
(2)$2(x + 3) - 5(1 - x) = 3(x - 1)$.
答案
2.(1) $x=3$ (2) $x=-1$
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③ 运用整式乘法公式计算:$2020^2 - 2019 × 2021 =$
1
.答案
3. $1$
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④ 小林计算$(x+ay)(x+by)$(其中a,b是不为零的整数)时发现,算式合并同类项后会得到整式$x^2 - cy^2$(c为不大于10的整数),则c的值为
1或4或9
.答案
4. $1$或$4$或$9$
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⑤ 整式$3a^2 - b^2 - 2ab$与$-b^2 - 4ab - 3a^2$的差是
$6a^2+2ab$
.答案
5. $6a^2+2ab$
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