合并同类项计算题

时间:2025-02-13 02:09:28 单机游戏

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