Solve c^2/frac{4{a}-a}

$$\frac { c ^ { 2 } } { \frac { 4 } { a } - a }$$

Evaluate

$$\frac{ac^{2}}{4-a^{2}}$$

$$a\neq 0\text{ and }|a|\neq 2$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply a times \frac{a}{a}.

$$\frac{c^{2}}{\frac{4}{a}-\frac{aa}{a}}$$

Since \frac{4}{a} and \frac{aa}{a} have the same denominator, subtract them by subtracting their numerators.

$$\frac{c^{2}}{\frac{4-aa}{a}}$$

Do the multiplications in 4-aa.

$$\frac{c^{2}}{\frac{4-a^{2}}{a}}$$

Divide c^{2} by \frac{4-a^{2}}{a} by multiplying c^{2} by the reciprocal of \frac{4-a^{2}}{a}.

$$\frac{c^{2}a}{4-a^{2}}$$

Differentiate w.r.t. c

$$\frac{2ac}{4-a^{2}}$$

$$a\neq 0\text{ and }|a|\neq 2$$