9000101610 Časť: CUrčte podiel polynómov. \[ \left (2x^{3} - x^{2} - 3x - 1\right ) : \left (2x + 1\right ) \]\(x^{2} - x - 1\)\(x^{2} - x + 1\)\(x^{2} + x + 1\)\(x^{2} - 2x - 1\)
9000101701 Časť: BUpravte na súčin. \[ 15xy - 10x - 3y + 2 \]\(\left (5x - 1\right )\left (3y - 2\right )\)\(5x\left (3y - 2\right )\)\(4x\left (3y - 2\right )\)\(- 5x\left (3y - 2\right )\)
9000101609 Časť: CUrčte podiel polynómov. \[ \left (3x^{3} + 17x^{2} + 23x + 5\right ) : \left (x^{2} + 4x + 1\right ) \]\(3x + 5\)\(3x - 5\)\(3x + 1\)\(3x - 1\)
9000101705 Časť: BUpravte na súčin. \[ 16a^{2}b^{2} - 4a^{2}c^{2} - 16b^{2}d^{2} + 4c^{2}d^{2} \]\(4\left (a - d\right )\left (a + d\right )\left (2b + c\right )\left (2b - c\right )\)\(4\left (a + b\right )^{2}\left (2b + c\right )^{2}\)\(4\left (a - b\right )\left (a + b\right )\left (2b + c\right )\left (2b - c\right )\)\(4\left (a - c\right )\left (a + c\right )\left (2b + d\right )\left (2b - d\right )\)
9000101603 Časť: AUpravte daný výraz \((x + 1)(x - 1)^{2} - (x - 1)(x + 1)^{2}\).\(- 2\left (x - 1\right )\left (x + 1\right )\)\(2\left (x - 1\right )\left (x + 1\right )\)\(0\)\(2\)
9000101707 Časť: CUpravte na súčin. \[ x^{6} - 1 \]\(\left (x - 1\right )\left (x + 1\right )\left (x^{2} + x + 1\right )\left (x^{2} - x + 1\right )\)\(\left (x - 1\right )\left (x + 1\right )\left (x^{2} + x + 1\right )\left (x^{2} - x - 1\right )\)\(\left (x - 1\right )\left (x + 1\right )\left (x^{2} + 2x + 1\right )\left (x^{2} - 2x + 1\right )\)\(\left (x - 1\right )\left (x + 1\right )\left (x^{2} + x - 1\right )\left (x^{2} - x + 1\right )\)
9000101605 Časť: BUmocnite daný výraz \(\left (4x^{2}y + 2xy^{2}\right )^{3}\).\(64x^{6}y^{3} + 96x^{5}y^{4} + 48x^{4}y^{5} + 8x^{3}y^{6}\)\(16x^{2}y^{3} + 24x^{3}y^{3} + 8x^{3}y^{6}\)\(64x^{6}y^{3} + 96x^{3}y^{3} + 96x^{4}y^{5} + 8x^{3}y^{6}\)\(64x^{6}y^{3} + 8x^{3}y^{6}\)
9000101607 Časť: BUpravte daný výraz \(\left (x^{2} - y\right )^{3} -\left (y + x^{2}\right )^{3}\).\(- 6x^{4}y - 2y^{3}\)\(- 2y^{3}\)\(- 6x^{4}y - 2y^{3} + 6x^{2}y^{2}\)\(6x^{2}y - 2y^{3}\)
9000101608 Časť: BUpravte daný výraz \(\left (3x + y\right )\left (9x^{2} - 3xy + y^{2}\right )\).\(27x^{3} + y^{3}\)\(27x^{3} - y^{3}\)\((3x + y)^{3}\)\(27x^{3} + 3y^{3}\)
9000088810 Časť: AZjednodušte nasledujúci výraz. \[ \left (x -\frac{1} {x}\right )\cdot \left (1 - \frac{x} {x + 1}\right ) \]\(\frac{x - 1} {x} \)\(\frac{x - 1} {x + 1}\)\(\frac{1 - x} {x + 1}\)\(\frac{1 - x} {x} \)