化简 ((sqrt(m)-3)(sqrt(m)+5))/(m-25)

解答

化简

\frac{( m - 3 ) ( m + 5 )}{m - 25}

\frac{m + 2 m - 15}{m - 25}

求解步骤

\frac{( m - 3 ) ( m + 5 )}{m - 25}

使用 FOIL 方法:

(a + b) (c + d) = a c + a d + b c + b d

(m - 3) (m + 5) = m m + m \cdot 5 - 3 m - 3 \cdot 5

= \frac{m m + m \cdot 5 - 3 m - 3 \cdot 5}{m - 25}

化简

m m + m \cdot 5 - 3 m - 3 \cdot 5 : m + 2 m - 15

= \frac{m + 2 m - 15}{m - 25}

e x p an d \frac{( z + 1 ) z}{3 ( z ^{2} - z + 1 )}

e x p an d csc^{2} (x) (sec^{2} (x) - cos^{2} (x))

e x p an d \frac{- 2 e ^{\frac{1}{x}} + x ( 2 e ^{\frac{1}{x}} - 2 )}{3 x}

l c m δ (x - y y_{2}), y_{2}

e x p an d \frac{3 x ^{2} + x ^{4}}{x ^{5}}