1. –a2x4+a2x4–9b3y3–9b3y3+4b3y3= 14b³y³
-a²x4 és +a²x4 az kiüti egymást
-9b³y³-9b³y³+4b³y³= 14b³y³
-18b³y³+4b³y³= 14b³y³

2. +2b3y–9a3b2–b3y+2a3b2+4a3b2+4b3y= 5b³y-7a³b²
5b³y-7a³b²
5b³y= +2b³y-1b³y+4b³y
-7a³b²= -9a³b²+2a³b²

3. (– 9x + 4) + (5x + 2) + (– 2x – 8)=-2x(3+1)
(– 9x + 4) + (5x + 2) + (– 2x – 8) /zb
-9x+4+5x+2-2x-8=-6x-2
-6x-2= -2x(3+1)

4. (– 7x + 5) – (– 6x – 8) – (7x – 4)=-8x-17
(– 7x + 5) – (– 6x – 8) – (7x – 4)/zb
-7x+5+6x+8-7x-4+4=-8x-17

5. (7a3b4c3) · (–8b2c3)= -56a³b⁶c⁶
(7a³b⁴c³) · (–8b²c³)
-56a³b⁶c⁶

6. (9x3y4z2) · (–7xy2z3)=-63x⁴y⁶z⁵
(9x³y⁴z²) · (–7xy²z³)
-63x⁴y⁶z⁵

7. (72a5b4c4) : (9a3b4c2)
(72a⁵b⁴c⁴) : (9a³b⁴c²)=8a²c²
8a²c²

9. 2x · (– 6x – 5)=12x²-10x
2x · (– 6x – 5)
12x²-10x

10. – x (7x + 2)=-7x-2x
– x* (7x + 2)=-7x²-2x

11. (2x + 3)(2x – 3) + (x – 1)(2x + 3) + (– 5x – 1)(2x + 1) + (2x – 5)(– x + 5)=6x²+14x-43
1-2.tag
(2x + 3)(2x – 3)=4x²-6x+6x-9=4x²-9
3-4.tag
(x – 1)(2x + 3)=2x²+3x-2x-3=2x²+x-3
5-6.tag
(– 5x – 1)(2x + 1)=-10x²-5-2x-1=-10x²-2x-6
7-8.tag
(2x – 5)(– x + 5)=-2x²+10x+5x-25=-2x²+15x-25
4x²-9+2x²+x-3-10x²-2x-6-2x²+15x-25=
4x²+2x²-10x²-2x²=6x²
x-2x+15x=14x
x=1x
-9-3-6-25=-43

12. (5x – 4)(5x + 3) – (– 5x + 3)(– 5x +2) – (– 3x + 5)(– 2x + 3) + (– 4x + 1)(– 5x + 2)
1-2.tag
(5x – 4)(5x + 3)=25x²+15x-20x-12=25x²-5x-12
3-4.tag
(– 5x + 3)(– 5x +2)
(-5x+3) (-5x+2)=25x²-10x-15x+6=25x²-25x+6
5-6.tag
(– 3x + 5)(– 2x + 3)
(-3x-5) (-2x+3)=6x²-9x+10x-15=6x²+x-15
7-8.tag
(– 4x + 1)(– 5x + 2)=20x²-8x-5x+2=20x²-3x+2
25x²-5x-12-25x²-25x+6-6x²+x-15+20x²-3x+2=14x²-32x-19
25x²-25x²-6x²+20x²=14x²
-5x-25x+x-3x=-32x
-12-15+6+2=-19