因式分解 ((2a-2))/((2a^2-50))*((a^2-4a-5))/((3a+3))

解答

因式分解

\frac{( 2 a - 2 )}{( 2 a ^{2} - 50 )} \cdot \frac{( a ^{2} - 4 a - 5 )}{( 3 a + 3 )}

\frac{a - 1}{3 ( a + 5 )}

求解步骤

\frac{2 a - 2}{2 a ^{2} - 50} \cdot \frac{a ^{2} - 4 a - 5}{3 a + 3}

\frac{2 a - 2}{2 a ^{2} - 50} = \frac{a - 1}{( a + 5 ) ( a - 5 )}

= \frac{a ^{2} - 4 a - 5}{3 a + 3} \cdot \frac{a - 1}{( a + 5 ) ( a - 5 )}

\frac{a ^{2} - 4 a - 5}{3 a + 3} = \frac{a - 5}{3}

= \frac{a - 1}{( a + 5 ) ( a - 5 )} \cdot \frac{a - 5}{3}

分式相乘:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{( a - 1 ) ( a - 5 )}{( a + 5 ) ( a - 5 ) \cdot 3}

约分:

a - 5

= \frac{a - 1}{( a + 5 ) \cdot 3}

44 = 2 (3 x - 5)

- 3 x + 4 = 8 x + 5

f a c t or \frac{2 x ^{2} - x}{x ^{3} + x ^{2} - x - 1}

\frac{u}{5} = - 6

5 (x + 4) - x = 4 (x + 5) - 1