因式分解 3y^6+7y^4-15y^2-35

解答

因式分解

3 y^{6} + 7 y^{4} - 15 y^{2} - 35

(3 y^{2} + 7) (y^{4} - 5)

求解步骤

3 y^{6} + 7 y^{4} - 15 y^{2} - 35

令

u = y^{2}

= 3 u^{3} + 7 u^{2} - 15 u - 35

因式分解

3 u^{3} + 7 u^{2} - 15 u - 35 : (3 u + 7) (u^{2} - 5)

= (3 u + 7) (u^{2} - 5)

u = y^{2}

代回

= (3 y^{2} + 7) (y^{4} - 5)

f a c t or 25 x y - 64 p^{2} - 40 x p + 40 p y

f a c t or b x^{3} - b y

f a c t or c^{2} + 11 c + 30.25

s im pl i f y C (13.5)

f a c t or \frac{15 + 5 5}{2}