因式分解 n^2x-5a^2y^2-n^2y^2+5a^2x

解答

因式分解

n^{2} x - 5 a^{2} y^{2} - n^{2} y^{2} + 5 a^{2} x

(- y^{2} + x) (n^{2} + 5 a^{2})

求解步骤

n^{2} x - 5 a^{2} y^{2} - n^{2} y^{2} + 5 a^{2} x

因式分解出通项

n^{2}

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

因式分解出通项

5 a^{2}

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

因式分解出通项

(- y^{2} + x)

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

∣ 4 x + 5 ∣ - 13 < - 4

x^{4} - 16 = 0

7 + 3 t \leq 2 (t + 3) - 2 (- 1 - t)

s im pl i f y 1 + \frac{1}{1 + 2}

362 = x 3