因式分解 K^2-25h^2

解答

因式分解

K^{2} - 25 h^{2}

(K + 5 h) (K - 5 h)

求解步骤

K^{2} - 25 h^{2}

化简

25 h^{2} : (5 h)^{2}

= K^{2} - (5 h)^{2}

使用平方差公式:

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

K^{2} - (5 h)^{2} = (K + 5 h) (K - 5 h)

= (K + 5 h) (K - 5 h)

s im pl i f y \frac{2}{5} + \frac{3}{5}

\frac{1}{2} (x - 4) = - 8

4 x - 20 = x^{2}

- 7 (x + 9) = 9 (x - 5) - 14 x

f a c t or 2 yz + 7 y - 2 z - 7