What is expand (dG-G^2dH)/(G(1+GH)) ?

The solution to expand (dG-G^2dH)/(G(1+GH)) is (dG-G^2dH)/(G+G^2H)

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expand (dG-G^2dH)/(G(1+GH))

expand

\frac{d G - G ^{2} d H}{G ( 1 + G H )}

\frac{d G - G ^{2} d H}{G + G ^{2} H}

Solution steps

\frac{d G - G ^{2} d H}{G ( 1 + G H )}

Expand

G (1 + G H) : G + G^{2} H

= \frac{d G - G ^{2} d H}{G + G ^{2} H}

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What is expand (dG-G^2dH)/(G(1+GH)) ?
The solution to expand (dG-G^2dH)/(G(1+GH)) is (dG-G^2dH)/(G+G^2H)