因式分解 (64-x)/(8-sqrt(x))

解答

因式分解

\frac{64 - x}{8 - x}

8 + x

求解步骤

\frac{64 - x}{8 - x}

乘以共轭根式

\frac{8 + x}{8 + x}

= \frac{( 64 - x ) ( 8 + x )}{( 8 - x ) ( 8 + x )}

(8 - x) (8 + x) = 64 - x

= \frac{( 64 - x ) ( 8 + x )}{64 - x}

约分:

64 - x

= 8 + x

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