Solve 10-(3*2^2/(1+10^2)-2

$$\frac { 10 - ( 3 \times 2 ^ { 2 } } { ( 1 + 10 ^ { 2 } ) - 2 }$$

Evaluate

$$\frac{326}{33}\approx 9.878787879$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$10-\frac{3\times 4}{1+10^{2}-2}$$

Multiply 3 and 4 to get 12.

$$10-\frac{12}{1+10^{2}-2}$$

Calculate 10 to the power of 2 and get 100.

$$10-\frac{12}{1+100-2}$$

Add 1 and 100 to get 101.

$$10-\frac{12}{101-2}$$

Subtract 2 from 101 to get 99.

$$10-\frac{12}{99}$$

Reduce the fraction \frac{12}{99} to lowest terms by extracting and canceling out 3.

$$10-\frac{4}{33}$$

Convert 10 to fraction \frac{330}{33}.

$$\frac{330}{33}-\frac{4}{33}$$

Since \frac{330}{33} and \frac{4}{33} have the same denominator, subtract them by subtracting their numerators.

$$\frac{330-4}{33}$$

Subtract 4 from 330 to get 326.

$$\frac{326}{33}$$

Factor

$$\frac{2 \cdot 163}{3 \cdot 11} = 9\frac{29}{33} = 9.878787878787879$$