展开 1/(2sqrt(5x+1))51/3

解答

展开

\frac{1}{2 5 x + 1} \cdot 5 \cdot \frac{1}{3}

\frac{5 5 x + 1}{30 x + 6}

求解步骤

\frac{1}{2 5 x + 1} \cdot 5 \cdot \frac{1}{3}

分式相乘:

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

= \frac{1 \cdot 1 \cdot 5}{2 5 x + 1 \cdot 3}

整理后得

= \frac{5}{6 5 x + 1}

\frac{5}{6 5 x + 1}

有理化:

\frac{5 5 x + 1}{30 x + 6}

= \frac{5 5 x + 1}{30 x + 6}

e x p an d \frac{125 x ^{9}}{( 3 3 x - 3 ) ^{3}}

e x p an d x^{2} a + (1 - x)^{2} 4 a d x

e x p an d \frac{2 x ^{2} - 7 x + 3}{( x + 1 ) ( x - 1 )}

e x p an d (x - 3)^{2} + (y - 2)^{2}

e x p an d A (31, 6) B (- 31, - 2)