化简 (sqrt(a+1)-2)/(sqrt(a+1)+2)

解答

化简

\frac{a + 1 - 2}{a + 1 + 2}

\frac{( a + 1 - 2 ) ^{2}}{a - 3}

求解步骤

\frac{a + 1 - 2}{a + 1 + 2}

乘以共轭根式

\frac{a + 1 - 2}{a + 1 - 2}

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

化简

(a + 1 - 2) (a + 1 - 2) : (a + 1 - 2)^{2}

(a + 1 + 2) (a + 1 - 2) = a - 3

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

s im pl i f y \frac{4}{1 + 3 i}

e x p an d (4 - r^{2})^{2}

s im pl i f y 3 a + 2 a

s im pl i f y \frac{40 m ^{3} n ^{2} - 20 m ^{2} n ^{3}}{20 m ^{2} n ^{2}}

s im pl i f y - 1^{12}