因式分解 9m^2-49

解答

因式分解

9 m^{2} - 49

(3 m + 7) (3 m - 7)

求解步骤

9 m^{2} - 49

使用指数运算法则

= (3 m)^{2} - 7^{2}

使用平方差公式:

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

(3 m)^{2} - 7^{2} = (3 m + 7) (3 m - 7)

= (3 m + 7) (3 m - 7)

f a c t or b^{2} + 2 b - 24

s im pl i f y (\frac{4 x ^{5}}{y ^{2} z})^{2}

s im pl i f y 3^{\frac{6}{18}} x^{\frac{6}{12}} y^{\frac{5}{20}}

- x - 1 = x + 9

\frac{x - 2}{4} - \frac{x + 7}{6} = \frac{5 x - 2}{9}