Solve {left(2-xsqrt{255.5525}right)}^2

$${ \left(2-x \sqrt{ 255.5525 } \right) }^{ 2 }$$

Evaluate

$$\frac{\left(-\sqrt{102221}x+40\right)^{2}}{400}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2-x\sqrt{255.5525}\right)^{2}.

$$4-4x\sqrt{255.5525}+x^{2}\left(\sqrt{255.5525}\right)^{2}$$

The square of \sqrt{255.5525} is 255.5525.

$$4-4x\sqrt{255.5525}+x^{2}\times 255.5525$$

Expand

$$\frac{102221x^{2}}{400}-\frac{\sqrt{102221}x}{5}+4$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2-x\sqrt{255.5525}\right)^{2}.

$$4-4x\sqrt{255.5525}+x^{2}\left(\sqrt{255.5525}\right)^{2}$$

The square of \sqrt{255.5525} is 255.5525.

$$4-4x\sqrt{255.5525}+x^{2}\times 255.5525$$