展开 ((4+x^2)^2)/2

解答

展开

\frac{( 4 + x ^{2} ) ^{2}}{2}

\frac{x ^{4}}{2} + 4 x^{2} + 8

求解步骤

\frac{( 4 + x ^{2} ) ^{2}}{2}

(4 + x^{2})^{2} = 16 + 8 x^{2} + x^{4}

= \frac{16 + 8 x ^{2} + x ^{4}}{2}

使用分式法则:

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

\frac{16 + 8 x ^{2} + x ^{4}}{2} = \frac{16}{2} + \frac{8 x ^{2}}{2} + \frac{x ^{4}}{2}

= \frac{16}{2} + \frac{8 x ^{2}}{2} + \frac{x ^{4}}{2}

数字相除:

\frac{16}{2} = 8

= 8 + \frac{8 x ^{2}}{2} + \frac{x ^{4}}{2}

数字相除:

\frac{8}{2} = 4

= 8 + 4 x^{2} + \frac{x ^{4}}{2}

改写为标准形式

= \frac{x ^{4}}{2} + 4 x^{2} + 8

e x p an d \frac{3 s ^{2} + s - 23}{( s + 3 ) ( 3 s - 2 ) ( s - 1 )}

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

e x p an d \frac{- \frac{16}{5}}{t + 3} + \frac{\frac{11}{5}}{t - 2}

e x p an d (2 d + e + 5 t) (e + 3 t)

e x p an d \frac{a ^{3} + b ^{3} + c ^{3}}{( a + b ) ( a + c ) ( b + c )}