因式分解 25x^2-64

解答

因式分解

25 x^{2} - 64

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

求解步骤

25 x^{2} - 64

使用指数运算法则

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

使用平方差公式:

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

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

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

f a c t or 4 y^{2} + 28 y - 72

\frac{10 - x}{2} = \frac{x + 1}{3}

(8) = - 1 (5) + b

2 m^{2} - 7 m - 13 = - 10

s im pl i f y \frac{25 x ^{7} y ^{8}}{5 x ^{5} y}