Solve 5x/2*5x/2

$$\frac { 5 x } { 2 } \times \frac { 5 x } { 2 }$$

Evaluate

$$\frac{25x^{2}}{4}$$

Solution Steps

Multiply \frac{5x}{2} and \frac{5x}{2} to get \left(\frac{5x}{2}\right)^{2}.

$$\left(\frac{5x}{2}\right)^{2}$$

To raise \frac{5x}{2} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(5x\right)^{2}}{2^{2}}$$

Expand \left(5x\right)^{2}.

$$\frac{5^{2}x^{2}}{2^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{25x^{2}}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{25x^{2}}{4}$$

Differentiate w.r.t. x

$$\frac{25x}{2}$$