因式分解 27m^6+729y^{12}

解答

因式分解

27 m^{6} + 729 y^{12}

27 (m^{2} + 3 y^{4}) (m^{2} + 3 y^{4} + 3 m y^{2}) (m^{2} + 3 y^{4} - 3 m y^{2})

求解步骤

27 m^{6} + 729 y^{12}

因式分解出通项

27 : 27 (m^{6} + 27 y^{12})

= 27 (m^{6} + 27 y^{12})

因式分解

m^{6} + 27 y^{12} : (m^{2} + 3 y^{4}) (m^{2} + 3 y^{4} + 3 m y^{2}) (m^{2} + 3 y^{4} - 3 m y^{2})

= 27 (m^{2} + 3 y^{4}) (m^{2} + 3 y^{4} + 3 m y^{2}) (m^{2} + 3 y^{4} - 3 m y^{2})

s im pl i f y x^{- 2} \cdot (x + x^{7})

s im pl i f y \frac{( x + 3 )}{( 15 - x ^{2} - 64 )}

s im pl i f y (3 y + 2 y)^{2}

s im pl i f y 25 x^{4} - 10 4^{2} + 16

s im pl i f y (\frac{( 2 a ^{2} )}{( 3 b ^{2} )})^{- 2}