化简 (x+1/2)(x+11/2)

解答

化简

(x + \frac{1}{2}) (x + \frac{11}{2})

\frac{( 2 x + 1 ) ( 2 x + 11 )}{4}

求解步骤

(x + \frac{1}{2}) (x + \frac{11}{2})

化简

x + \frac{1}{2} : \frac{2 x + 1}{2}

= \frac{2 x + 1}{2} (x + \frac{11}{2})

使用分式法则:

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

= \frac{( 2 x + 1 ) ( x + \frac{11}{2} )}{2}

化简

(2 x + 1) (x + \frac{11}{2}) : \frac{( 2 x + 1 ) ( x \cdot 2 + 11 )}{2}

= \frac{\frac{( 2 x + 1 ) ( x \cdot 2 + 11 )}{2}}{2}

使用分式法则:

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

= \frac{( 2 x + 1 ) ( x \cdot 2 + 11 )}{2 \cdot 2}

数字相乘:

2 \cdot 2 = 4

= \frac{( 2 x + 1 ) ( x \cdot 2 + 11 )}{4}

= \frac{( 2 x + 1 ) ( 2 x + 11 )}{4}

e x p an d \frac{90 ( s + 0.3 )}{( s + 3.8 ) ( s - 2.9 ) ( s + 10 )}

e x p an d \frac{1}{s ( s ^{2} + 2 s + 10 )}

e x p an d - \frac{4 ( 72 - 5 P ^{2} )}{3}

e x p an d \frac{k ( s + 2 ) ( s + 1 )}{( s - 2 ) ( s - 1 )}

e x p an d (cos (x) - 1) (2 sin (x) + 1)