因式分解 a^2x^4+a^3x^2-5a^4x

解答

因式分解

a^{2} x^{4} + a^{3} x^{2} - 5 a^{4} x

x a^{2} (x^{3} - 5 a^{2} + a x)

求解步骤

a^{2} x^{4} + a^{3} x^{2} - 5 a^{4} x

因式分解

x^{4} a^{2} + x^{2} a^{3} - 5 x a^{4} : x a^{2} (x^{3} + x a - 5 a^{2})

= x a^{2} (x^{3} + x a - 5 a^{2})

= x a^{2} (x^{3} - 5 a^{2} + a x)

s im pl i f y p (x) 4 x^{3} - 12 x^{2} + 11 x - 5

s im pl i f y (- 2 - 7) y (6.1)

f a c t or 6 x^{4} + 29 x^{3} + 30 x^{2} - 11 x - 6

f a c t or 2 x^{2} - 32 y^{2}

s im pl i f y (x + 3) (x + 6) - (x - 3) (x - 6)