1. 去括号:
(1)$4a - 2(b - 3c) =$
4a-2b+6c
;
(2)$-5a + \frac{1}{2}(4x - 6) =$
-5a+2x-3
;
(3)$3x + [4y - (7z + 3)] =$
3x+4y-7z-3
;
(4)$-3a^3 - [2x^2 - (5x + 1)] =$
-3a³-2x²+5x+1
。
答案:(1)4a-2b+6c
(2)-5a+2x-3
(3)3x+4y-7z-3
(4)-3a³-2x²+5x+1
2.添括号:
(1)$2 - x^2 + 2xy - y^2 = 2 - ($
x²-2xy+y²
$)$;(2)$a - (b - c + d) = a - d + ($
-b+c
$)$;
(3)$5x + 3x^2 - 4y^2 = 5x - ($
4y²-3x²
$)$;(4)$-3p + 3q - 1 = 3q - ($
3p+1
$)$。
答案:(1)x²-2xy+y²
(2)-b+c
(3)4y²-3x²
(4)3p+1
3. 先去括号,再合并同类项:
(1)$a-(2a-2)$;
(2)$-(5x+y)-3(2x-3y)$;
(3)$2x^2-(7+x)-(3x+4x^2)$;
(4)$-(3a^2-2a+1)+(a^2-5a+7)$;
(5)$a^2-3[a^2-2(a^2-a)+1]$;
(6)$3a^2b-2[ab^2-2(a^2b-2ab^2)]$;
(7)$5a^2-[3a-(2a-3)+4a^2]$;
(8)$2(a^2b-3ab^2)-3(2ab^2-\frac{5}{6}a^2b)$。
答案:(1)-a+2
(2)-11x+8y
(3)-2x²-4x-7
(4)-2a²-3a+6
(5)4a²-6a-3
(6)7a²b-10ab²
(7)a²-a-3
(8)$\frac{9}{2}a^2b-12ab^2$