因式分解 36x^2-25y^2

解答

因式分解

36 x^{2} - 25 y^{2}

(6 x + 5 y) (6 x - 5 y)

求解步骤

36 x^{2} - 25 y^{2}

36 x^{2} = (6 x)^{2}

25 y^{2} = (5 y)^{2}

= (6 x)^{2} - (5 y)^{2}

使用平方差公式:

x^{2} - y^{2} = (x + y) (x - y)

(6 x)^{2} - (5 y)^{2} = (6 x + 5 y) (6 x - 5 y)

= (6 x + 5 y) (6 x - 5 y)

∣ x ∣ > 9

x^{2} + 7 x + 4 = 0

∣ 4 (x - 1) + 2 ∣ \leq 18

s im pl i f y \frac{7}{3} + \frac{1}{3}

2.2 h + 0.4 \leq 2 (1.1 h - 0.1)