Solve =382^2-0955^2/2*981+2

$$= \frac { 382 ^ { 2 } - 0955 ^ { 2 } } { 2 \times 981 } + 2$$

Evaluate

$$\frac{74924}{981}\approx 76.375127421$$

Solution Steps

Calculate 382 to the power of 2 and get 145924.

$$\frac{145924-0\times 955^{2}}{2\times 981}+2$$

Calculate 955 to the power of 2 and get 912025.

$$\frac{145924-0\times 912025}{2\times 981}+2$$

Multiply 0 and 912025 to get 0.

$$\frac{145924-0}{2\times 981}+2$$

Subtract 0 from 145924 to get 145924.

$$\frac{145924}{2\times 981}+2$$

Multiply 2 and 981 to get 1962.

$$\frac{145924}{1962}+2$$

Reduce the fraction \frac{145924}{1962} to lowest terms by extracting and canceling out 2.

$$\frac{72962}{981}+2$$

Convert 2 to fraction \frac{1962}{981}.

$$\frac{72962}{981}+\frac{1962}{981}$$

Since \frac{72962}{981} and \frac{1962}{981} have the same denominator, add them by adding their numerators.

$$\frac{72962+1962}{981}$$

Add 72962 and 1962 to get 74924.

$$\frac{74924}{981}$$

Factor

$$\frac{2 ^ {2} \cdot 18731}{3 ^ {2} \cdot 109} = 76\frac{368}{981} = 76.37512742099898$$