What is expand (-2x^2+3)/((x^2+3)^{5/2)} ?

The solution to expand (-2x^2+3)/((x^2+3)^{5/2)} is -(2x^2)/((x^2+3)^{5/2)}+3/((x^2+3)^{5/2)}

Popular >

expand (-2x^2+3)/((x^2+3)^{5/2)}

expand

\frac{- 2 x ^{2} + 3}{( x ^{2} + 3 ) ^{\frac{5}{2}}}

- \frac{2 x ^{2}}{( x ^{2} + 3 ) ^{\frac{5}{2}}} + \frac{3}{( x ^{2} + 3 ) ^{\frac{5}{2}}}

Solution steps

\frac{- 2 x ^{2} + 3}{( x ^{2} + 3 ) ^{\frac{5}{2}}}

Apply the fraction rule:

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

\frac{- 2 x ^{2} + 3}{( x ^{2} + 3 ) ^{\frac{5}{2}}} = - \frac{2 x ^{2}}{( x ^{2} + 3 ) ^{\frac{5}{2}}} + \frac{3}{( x ^{2} + 3 ) ^{\frac{5}{2}}}

= - \frac{2 x ^{2}}{( x ^{2} + 3 ) ^{\frac{5}{2}}} + \frac{3}{( x ^{2} + 3 ) ^{\frac{5}{2}}}

\frac{cos ( x )}{2 ( 1 + sin ( x ) )}

(- 17 x y^{2} + cos (2 y)) d x + (K x^{2} y^{3} - 2 sin (2 y)) d y

(e^{2 x} - 5) sech (x^{2} + 7 x - 1)

l {(3 e^{- 3 t} - 2 t)^{2} + (cos (3 t) - e^{5 t})^{2}}

\frac{( 2 x - 3 ) ( 1 - x ^{2} )}{( x ^{2} + 1 ) ( 5 - x )}

What is expand (-2x^2+3)/((x^2+3)^{5/2)} ?
The solution to expand (-2x^2+3)/((x^2+3)^{5/2)} is -(2x^2)/((x^2+3)^{5/2)}+3/((x^2+3)^{5/2)}