化简下列各式:
(1)$3a-(2b-a)+b$; (2)$3(a+5b)-2(b-a)$;
(3)$2(2a^{2}+9b)+3(-5a^{2}-4b)$; (4)$(2xy-y)-(-y+yx)$;
(5)$(-2ab+3a)-2(2a-b)+2ab$; (6)$(5a^{2}+2a-1)-4(3-8a+2a^{2})$;
(7)$4(x+2x^{2}-5)-2(2x-x^{2}+1)$; (8)$3a+(a^{2}-a-2)-(1-3a-a^{2})$;
(9)$-5(x^{2}-3)-2(3x^{2}+5)$; (10)$3(ab-b^{2})-2(ab+3a^{2}-2ab)-6(ab-b^{2})$.
(1)$3a-(2b-a)+b$; (2)$3(a+5b)-2(b-a)$;
(3)$2(2a^{2}+9b)+3(-5a^{2}-4b)$; (4)$(2xy-y)-(-y+yx)$;
(5)$(-2ab+3a)-2(2a-b)+2ab$; (6)$(5a^{2}+2a-1)-4(3-8a+2a^{2})$;
(7)$4(x+2x^{2}-5)-2(2x-x^{2}+1)$; (8)$3a+(a^{2}-a-2)-(1-3a-a^{2})$;
(9)$-5(x^{2}-3)-2(3x^{2}+5)$; (10)$3(ab-b^{2})-2(ab+3a^{2}-2ab)-6(ab-b^{2})$.
答案:(1)$4a - b$ (2)$5a + 13b$ (3)$-11a^{2} + 6b$ (4)$xy$ (5)$-a + 2b$ (6)$-3a^{2} + 34a - 13$ (7)$10x^{2} - 22$ (8)$2a^{2} + 5a - 3$ (9)$-11x^{2} + 5$ (10)$3b^{2} - 6a^{2} - ab$
解析:
(1)解:$3a-(2b-a)+b$
$=3a-2b+a+b$
$=4a-b$
(2)解:$3(a+5b)-2(b-a)$
$=3a+15b-2b+2a$
$=5a+13b$
(3)解:$2(2a^{2}+9b)+3(-5a^{2}-4b)$
$=4a^{2}+18b-15a^{2}-12b$
$=-11a^{2}+6b$
(4)解:$(2xy-y)-(-y+yx)$
$=2xy-y+y-xy$
$=xy$
(5)解:$(-2ab+3a)-2(2a-b)+2ab$
$=-2ab+3a-4a+2b+2ab$
$=-a+2b$
(6)解:$(5a^{2}+2a-1)-4(3-8a+2a^{2})$
$=5a^{2}+2a-1-12+32a-8a^{2}$
$=-3a^{2}+34a-13$
(7)解:$4(x+2x^{2}-5)-2(2x-x^{2}+1)$
$=4x+8x^{2}-20-4x+2x^{2}-2$
$=10x^{2}-22$
(8)解:$3a+(a^{2}-a-2)-(1-3a-a^{2})$
$=3a+a^{2}-a-2-1+3a+a^{2}$
$=2a^{2}+5a-3$
(9)解:$-5(x^{2}-3)-2(3x^{2}+5)$
$=-5x^{2}+15-6x^{2}-10$
$=-11x^{2}+5$
(10)解:$3(ab-b^{2})-2(ab+3a^{2}-2ab)-6(ab-b^{2})$
$=3ab-3b^{2}-2ab-6a^{2}+4ab-6ab+6b^{2}$
$=3b^{2}-6a^{2}-ab$
$=3a-2b+a+b$
$=4a-b$
(2)解:$3(a+5b)-2(b-a)$
$=3a+15b-2b+2a$
$=5a+13b$
(3)解:$2(2a^{2}+9b)+3(-5a^{2}-4b)$
$=4a^{2}+18b-15a^{2}-12b$
$=-11a^{2}+6b$
(4)解:$(2xy-y)-(-y+yx)$
$=2xy-y+y-xy$
$=xy$
(5)解:$(-2ab+3a)-2(2a-b)+2ab$
$=-2ab+3a-4a+2b+2ab$
$=-a+2b$
(6)解:$(5a^{2}+2a-1)-4(3-8a+2a^{2})$
$=5a^{2}+2a-1-12+32a-8a^{2}$
$=-3a^{2}+34a-13$
(7)解:$4(x+2x^{2}-5)-2(2x-x^{2}+1)$
$=4x+8x^{2}-20-4x+2x^{2}-2$
$=10x^{2}-22$
(8)解:$3a+(a^{2}-a-2)-(1-3a-a^{2})$
$=3a+a^{2}-a-2-1+3a+a^{2}$
$=2a^{2}+5a-3$
(9)解:$-5(x^{2}-3)-2(3x^{2}+5)$
$=-5x^{2}+15-6x^{2}-10$
$=-11x^{2}+5$
(10)解:$3(ab-b^{2})-2(ab+3a^{2}-2ab)-6(ab-b^{2})$
$=3ab-3b^{2}-2ab-6a^{2}+4ab-6ab+6b^{2}$
$=3b^{2}-6a^{2}-ab$