Mnohočleny a lomené výrazy

9000101705

Časť: 
B
Upravte na súčin. \[ 16a^{2}b^{2} - 4a^{2}c^{2} - 16b^{2}d^{2} + 4c^{2}d^{2} \]
\(4\left (a - d\right )\left (a + d\right )\left (2b + c\right )\left (2b - c\right )\)
\(4\left (a + b\right )^{2}\left (2b + c\right )^{2}\)
\(4\left (a - b\right )\left (a + b\right )\left (2b + c\right )\left (2b - c\right )\)
\(4\left (a - c\right )\left (a + c\right )\left (2b + d\right )\left (2b - d\right )\)

9000101707

Časť: 
C
Upravte 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: 
B
Umocnite daný výraz \(\left (4x^{2}y + 2xy^{2}\right )^{3}\).
\(64x^{6}y^{3} + 96x^{5}y^{4} + 48x^{4}y^{5} + 8x^{3}y^{6}\)
\(16x^{2}y^{3} + 24x^{3}y^{3} + 8x^{3}y^{6}\)
\(64x^{6}y^{3} + 96x^{3}y^{3} + 96x^{4}y^{5} + 8x^{3}y^{6}\)
\(64x^{6}y^{3} + 8x^{3}y^{6}\)