Solve (pi(sqrt{x^2-3.2x+102.56}))*(sqrt{x^2-3.2x+102.56}

$$( \pi ( \sqrt{ { x }^{ 2 } -3.2x+102.56 } )) \times ( \sqrt{ { x }^{ 2 } -3.2x+102.56 }$$

Evaluate

$$\pi \left(x^{2}-\frac{16x}{5}+102.56\right)$$

Solution Steps

Multiply \sqrt{x^{2}-3.2x+102.56} and \sqrt{x^{2}-3.2x+102.56} to get \left(\sqrt{x^{2}-3.2x+102.56}\right)^{2}.

$$\pi \left(\sqrt{x^{2}-3.2x+102.56}\right)^{2}$$

Calculate \sqrt{x^{2}-3.2x+102.56} to the power of 2 and get x^{2}-3.2x+102.56.

$$\pi \left(x^{2}-3.2x+102.56\right)$$

Use the distributive property to multiply \pi by x^{2}-3.2x+102.56.

$$\pi x^{2}-3.2\pi x+102.56\pi$$

Factor

$$\frac{\pi \left(25x^{2}-80x+2564\right)}{25}$$