因式分解 25x^2-169

解答

因式分解

25 x^{2} - 169

(5 x + 13) (5 x - 13)

求解步骤

25 x^{2} - 169

使用指数运算法则

= (5 x)^{2} - 1 3^{2}

使用平方差公式:

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

(5 x)^{2} - 1 3^{2} = (5 x + 13) (5 x - 13)

= (5 x + 13) (5 x - 13)

\frac{( 2 - x ) ( 2 x + 1 ) ^{2}}{( x - 4 ) ^{4}} \leq 0

f a c t or 3 u^{2} + 10 u + 7

s im pl i f y \frac{k + 5}{k ^{2} - 7 k + 10} + \frac{5 k}{5 k ^{2}}

5 x - x = 44

(6 x - 1) (6 x + 1) - 4 x (9 x + 2) = - 1