因式分解 a^6x^2-b^6x^2

解答

因式分解

a^{6} x^{2} - b^{6} x^{2}

x^{2} (a + b) (a^{2} - ab + b^{2}) (a - b) (a^{2} + ab + b^{2})

求解步骤

a^{6} x^{2} - b^{6} x^{2}

因式分解出通项

x^{2}

= x^{2} (a^{6} - b^{6})

因式分解

a^{6} - b^{6} : (a + b) (a^{2} - ab + b^{2}) (a - b) (a^{2} + ab + b^{2})

= x^{2} (a + b) (a^{2} - ab + b^{2}) (a - b) (a^{2} + ab + b^{2})

18 y - 91 \geq 12

2 (x + 5) = \frac{1}{2} (x - 4)

(x + 210) (x - 40) = 36

2 x^{2} - 9 x + 11 = 4

s im pl i f y 15 \cdot \frac{π}{180}