Solve 4x^2-4x^2/9

$$4 { x }^{ 2 } - \frac{ 4 { x }^{ 2 } }{ 9 }$$

Evaluate

$$\frac{32x^{2}}{9}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 4x^{2} times \frac{9}{9}.

$$\frac{9\times 4x^{2}}{9}-\frac{4x^{2}}{9}$$

Since \frac{9\times 4x^{2}}{9} and \frac{4x^{2}}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9\times 4x^{2}-4x^{2}}{9}$$

Do the multiplications in 9\times 4x^{2}-4x^{2}.

$$\frac{36x^{2}-4x^{2}}{9}$$

Combine like terms in 36x^{2}-4x^{2}.

$$\frac{32x^{2}}{9}$$

Differentiate w.r.t. x

$$\frac{64x}{9}$$