What is expand-(z^2+1)(xdz-zdx) ?

The solution to expand-(z^2+1)(xdz-zdx) is -z^2xdz+z^3dx-xdz+zdx

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expand-(z^2+1)(xdz-zdx)

expand

- (z^{2} + 1) (x d z - z d x)

- z^{2} x d z + z^{3} d x - x d z + z d x

Solution steps

- (z^{2} + 1) (x d z - z d x)

Expand

(z^{2} + 1) (x d z - z d x) : z^{2} x d z - z^{3} d x + x d z - z d x

= - (z^{2} x d z - z^{3} d x + x d z - z d x)

Distribute parentheses

= - (z^{2} x d z) - (- z^{3} d x) - (x d z) - (- z d x)

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - z^{2} x d z + z^{3} d x - x d z + z d x

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

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

\frac{( p - q ) ^{2}}{p + q}

(4 cos (t) - sin (t))^{2}

sin ((2 n + 1) π)

What is expand-(z^2+1)(xdz-zdx) ?
The solution to expand-(z^2+1)(xdz-zdx) is -z^2xdz+z^3dx-xdz+zdx