Simplify- dfrac-f-2-g-f- f - 2 -left- dfrac - 1 - g - -1 right- dfrac - f - g - left- f-g right- fleft- dfrac - f - g - -f right- - f - 2 -left- dfrac - 1 - g - -dfrac - 1 - f - right-

Question

Toppr Admin · Accepted Answer

Given- f2g-x2212-f- f2g-x2212-f2f- f2-1g-x2212-1f-

Simplify: $\frac{f^{2}}{g} - f$
$f^{2} (\frac{1}{g} + 1)$
$\frac{f}{g} (f + g)$
$f (\frac{f}{g} + f)$
$f^{2} (\frac{1}{g} - \frac{1}{f})$

Given, $\frac{f^{2}}{g} - f$
$=$ $\frac{f^{2}}{g} - \frac{f^{2}}{f}$
$=$ $f^{2} (\frac{1}{g} - \frac{1}{f})$

Simplify: f2g−ff2(1g+1)fg(f+g)f(fg+f)f2(1g−1f)

Given, f2g−f= f2g−f2f= f2(1g−1f)

Simplify: $\frac{f^{2}}{g} - f$
$f^{2} (\frac{1}{g} + 1)$
$\frac{f}{g} (f + g)$
$f (\frac{f}{g} + f)$
$f^{2} (\frac{1}{g} - \frac{1}{f})$

Given, $\frac{f^{2}}{g} - f$
$=$ $\frac{f^{2}}{g} - \frac{f^{2}}{f}$
$=$ $f^{2} (\frac{1}{g} - \frac{1}{f})$