Solve 2*5/2{left(sqrt{26-8}right)}^2+78x*x

$$2 \times \frac{ 5 }{ 2 } { \left( \sqrt{ 26-8 } \right) }^{ 2 } +78x \times x$$

Evaluate

$$78x^{2}+90$$

Solution Steps

Multiply x and x to get x^{2}.

$$2\times \frac{5}{2}\left(\sqrt{26-8}\right)^{2}+78x^{2}$$

Multiply 2 and \frac{5}{2} to get 5.

$$5\left(\sqrt{26-8}\right)^{2}+78x^{2}$$

Subtract 8 from 26 to get 18.

$$5\left(\sqrt{18}\right)^{2}+78x^{2}$$

The square of \sqrt{18} is 18.

$$5\times 18+78x^{2}$$

Multiply 5 and 18 to get 90.

$$90+78x^{2}$$

Factor

$$6\left(13x^{2}+15\right)$$

Solution Steps

Multiply and combine like terms.

$$78x^{2}+90$$

Factor out 6. Polynomial 13x^{2}+15 is not factored since it does not have any rational roots.

$$6\left(13x^{2}+15\right)$$