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Dvojčleny

100

6x+12

6(x+2)

200

8a²+12a

4a(2a+3)

300

81x²y-72xy²

9xy(9x-8y)

400

12a⁴b³-24a⁶b⁷

12a⁴b³(1-2a²b⁴)

500

-16x⁵y³z⁸+24x⁴yz⁶

-8x⁴yz⁶(2xy²z²-3)

Trojčleny

100

4x+8+12

4(x+2+3)

200

3x²+6x+9

3(x²+2x+3)

300

45x³-15x⁵+60x²

15x²(3x-x³+4)

400

6a³-18ab+36a²b³

6a(a²-3b+6ab³)

500

-4ab²c-6a²bc+10abc²

-2abc(2b+3a-5c)

Společná závorka

100

2(x+3)+5y(x+3)

(x+3)(2+5y)

200

4(x+1)-6z(1+x)

(x+1)(4-6z)

300

3(x-2)-5y(x-2)

(x-2)(3-5y)

400

6a(x+1)+2a(1+x)

(x+1)8a

500

5a(x-3)-2b(3-x)

(x-3)(5a+2b)

Postupné vytýkání

100

xy-x-2y+2

(y-1)(x-2)

200

ab+3a+2b+6

(b+3)(a+2)

300

ab+3a-2b-6

(b+3)(a-2)

400

xy+ay+bx+ab

(x+a)(y+b)

500

a²+ab-a-b

(a+b)(a-1)

Najdi chybu

100

6x+12=6(x+12)

6(x+2)

200

4a+8=2a(2+4)

4(a+2)

300

5x²+10x=5(x²+2)

5x(x+2)

400

3(x-1)-2a(x-1)=(x-1)(3+2a)

(x-1)(3-2a)

500

2x²y⁴z²-10x³y³z²+12xy⁴z³=2x²y³z²(y-5x+6yz)

2xy³z²(xy-5x²+6yz)