因式分解 4n^8-20n^4+25

解答

因式分解

4 n^{8} - 20 n^{4} + 25

(2 n^{4} - 5)^{2}

求解步骤

4 n^{8} - 20 n^{4} + 25

令

u = n^{2}

= 4 u^{4} - 20 u^{2} + 25

因式分解

4 u^{4} - 20 u^{2} + 25 : (2 u^{2} - 5)^{2}

= (2 u^{2} - 5)^{2}

u = n^{2}

代回

= (2 n^{4} - 5)^{2}

x^{2} - 5 x + 1 = 0

s im pl i f y (4 - 3 i) + (2 i - 8)

- 2 (x + 1) < 2

f a c t or 32 t^{2} - 18 u^{2}

- 2 (4 y - 7) + y \geq 2 y - (- 5 + y)