因式分解 16x^4-49x^2y^2+25xy

解答

因式分解

16 x^{4} - 49 x^{2} y^{2} + 25 x y

x (16 x^{3} - 49 x y^{2} + 25 y)

求解步骤

16 x^{4} - 49 x^{2} y^{2} + 25 x y

使用指数法则:

a^{b + c} = a^{b} a^{c}

x^{4} = x x^{3}, x^{2} y^{2} = xx

= 16 x x^{3} - 49 xx + 25 x y

因式分解出通项

x

= x (16 x^{3} - 49 x y^{2} + 25 y)

s im pl i f y - \frac{5}{6} - \frac{1}{6}

(- \frac{11}{6}) + m = - \frac{2}{9}

f a c t or 2 b^{3} - 6 b^{2}

x^{2} + (4)^{2} = (13)^{2}

f a c t or - x^{2} + 8 x - 15