因式分解 64x^2-25y^2

解答

因式分解

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

(8 x + 5 y) (8 x - 5 y)

求解步骤

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

64 x^{2} = (8 x)^{2}

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

= (8 x)^{2} - (5 y)^{2}

使用平方差公式:

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

(8 x)^{2} - (5 y)^{2} = (8 x + 5 y) (8 x - 5 y)

= (8 x + 5 y) (8 x - 5 y)

(x - 1) (x - 5) (x - 6) \geq 0

f a c t or 2 a + 4

- 0.1 x^{2} + 0.1 x = - 0.03

x + 3 \geq 0

f a c t or 2 t^{2} + 9 t + 4