因式分解 3m^4-8m^2-16

解答

因式分解

3 m^{4} - 8 m^{2} - 16

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

求解步骤

3 m^{4} - 8 m^{2} - 16

令

u = m^{2}

= 3 u^{2} - 8 u - 16

因式分解

3 u^{2} - 8 u - 16 : (3 u + 4) (u - 4)

= (3 u + 4) (u - 4)

u = m^{2}

代回

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

因式分解

m^{2} - 4 : (m + 2) (m - 2)

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

e x p an d sin (a) cos (a) (tan^{2} (a) + cot^{2} (x))

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

f a c t or x^{3} + 3 x^{2} + 3 x + 28

s im pl i f y \frac{( x ^{4} - 9 )}{( x ^{2} + 3 )}

s im pl i f y x^{2} + \frac{x}{6} - \frac{1}{6}