Solve 31.270*3.1908-(9.8*13.1908)^2/2

$$31.270 \times 3.1908 - \frac { ( 9.8 \times 13.1908 ) ^ { 2 } } { 2 }$$

Evaluate

$$-8255.5694508128$$

Solution Steps

Multiply 31.27 and 3.1908 to get 99.776316.

$$99.776316-\frac{\left(9.8\times 13.1908\right)^{2}}{2}$$

Multiply 9.8 and 13.1908 to get 129.26984.

$$99.776316-\frac{129.26984^{2}}{2}$$

Calculate 129.26984 to the power of 2 and get 16710.6915336256.

$$99.776316-\frac{16710.6915336256}{2}$$

Expand \frac{16710.6915336256}{2} by multiplying both numerator and the denominator by 10000000000.

$$99.776316-\frac{167106915336256}{20000000000}$$

Reduce the fraction \frac{167106915336256}{20000000000} to lowest terms by extracting and canceling out 64.

$$99.776316-\frac{2611045552129}{312500000}$$

Subtract \frac{2611045552129}{312500000} from 99.776316 to get -\frac{2579865453379}{312500000}.

$$-\frac{2579865453379}{312500000}$$

Factor

$$-8255.5694508128$$