合并同类项的计算题如下:
1. $(3x-5y)-(6x+7y)+(9x-2y)$
$$
= 3x - 5y - 6x - 7y + 9x - 2y
= (3 - 6 + 9)x + (-5 - 7 - 2)y
= 6x - 14y
$$
2. $2a-[3b-5a-(3a-5b)]$
$$
= 2a - [3b - 5a - 3a + 5b]
= 2a - (-8a + 8b)
= 2a + 8a - 8b
= 10a - 8b
$$
3. $3x-7+4x$
$$
= 7x - 7
$$
4. $-8x = 3 - \frac{11x}{3}$
$$
= -256x = 96 - 11x
$$
$$
= -245x = 96
$$
$$
= x = \frac{96}{-245}
$$
5. $3(x+1)-2(x+2)$
$$
= 3x + 3 - 2x - 4
= x - 1
$$
6. $a-(a-3b+4c)+3(-c+2b)$
$$
= a - a + 3b - 4c - 3c + 6b
= -7c + 9b
$$
7. $(3x^2-2xy+7)-(-4x^2+5xy+6)$
$$
= 3x^2 - 2xy + 7 + 4x^2 - 5xy - 6
= 7x^2 - 7xy + 1
$$
8. $3ab-4ab+8ab-7ab+ab$
$$
= (3 - 4 + 8 - 7 + 1)ab
= 1ab
= ab
$$
9. $7x-(5x-5y)-y$
$$
= 7x - 5x + 5y - y
= 2x + 4y
$$
10. $23a^3bc^2-15ab^2c+8abc-24a^3bc^2-8abc$
$$
= (23a^3bc^2 - 24a^3bc^2) + (-15ab^2c + 8abc - 8abc)
= -a^3bc^2 - 15ab^2c
$$
11. $-7x^2+6x+13x^2-4x-5x^2$
$$
= (-7 + 13 - 5)x^2 + (6 - 4)x
= x^2 + 2x
$$
12. $2y+(-2y+5)-(3y+2)$
$$
= 2y - 2y + 5 - 3y - 2
= -3y + 3
$$
13. $(3x-5y)-(6x+7y)+(9x-2y)$
$$
= 3x - 5y - 6x - 7y + 9x - 2y
= (3 - 6 + 9)x + (-5 - 7 - 2)y
= 6x - 14y
$$
14. $2a-[3b-5a-(3a-5b)]$
$$
= 2a - [3b - 5a - 3a + 5b]
= 2a - (-8a + 8b)
= 2a + 8a - 8b
= 10a - 8b
$$
15. $(6m^2n-5mn^2)-6(m^2n-mn^2)$
$$
= 6m^2n - 5mn^2 - 6m^2n + 6mn^2
= (6 - 6)m^2n + (-5 + 6)mn^2
= mn^2
$$
16. $A = 3x^2 - 4xy + 2y^2