1. 计算:
(1) $\frac{1}{2}x - 2(x - \frac{1}{3}y^2) + (-\frac{3}{2}x + \frac{1}{3}y^2)$;
(2) $4xy - (-2x^2 + 5xy - y^3) + 2(x^2 + 3xy)$;
(3) $(5a^2 - 3b^2) + (a^2 + b^2) - \frac{1}{4}(8a^2 - 4b^2)$;
(4) $15 + 3(1 - a) - (1 - a - a^2) + (1 - a + a^2 - a^3)$。
(1) $\frac{1}{2}x - 2(x - \frac{1}{3}y^2) + (-\frac{3}{2}x + \frac{1}{3}y^2)$;
(2) $4xy - (-2x^2 + 5xy - y^3) + 2(x^2 + 3xy)$;
(3) $(5a^2 - 3b^2) + (a^2 + b^2) - \frac{1}{4}(8a^2 - 4b^2)$;
(4) $15 + 3(1 - a) - (1 - a - a^2) + (1 - a + a^2 - a^3)$。
答案
(1) $y^2 - 3x$
(2) $y^3 + 5xy + 4x^2$
(3) $4a^2 - b^2$
(4) $-a^3 + 2a^2 - 3a + 18$
(2) $y^3 + 5xy + 4x^2$
(3) $4a^2 - b^2$
(4) $-a^3 + 2a^2 - 3a + 18$
2. 计算:
(1)$2a - [2b + 5(0.2a - 3b) + 4a]$;
(2)$5x^2 - [3x - 2(2x - 3) + 7x^2]$;
(3)$3a^2b - 2[\frac{1}{2}a^2b - (a^2b - \frac{1}{4}a^2) - 3a^2]$;
(4)$-\frac{2}{3}(-6ax^2 + 9a) + [-4x^3 - 2(ax^2 - 3) + 3]$。
(1)$2a - [2b + 5(0.2a - 3b) + 4a]$;
(2)$5x^2 - [3x - 2(2x - 3) + 7x^2]$;
(3)$3a^2b - 2[\frac{1}{2}a^2b - (a^2b - \frac{1}{4}a^2) - 3a^2]$;
(4)$-\frac{2}{3}(-6ax^2 + 9a) + [-4x^3 - 2(ax^2 - 3) + 3]$。
答案
(1) $-3a + 13b$
(2) $-2x^2 + x - 6$
(3) $4a^2b + \frac{11}{2}a^2$
(4) $-4x^3 + 2ax^2 - 6a + 9$
(2) $-2x^2 + x - 6$
(3) $4a^2b + \frac{11}{2}a^2$
(4) $-4x^3 + 2ax^2 - 6a + 9$
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