Solve 25-(25/14)^2

$$25 - ( \frac { 25 } { 14 } ) ^ { 2 }$$

Evaluate

$$\frac{4275}{196}\approx 21.81122449$$

Solution Steps

Calculate \frac{25}{14} to the power of 2 and get \frac{625}{196}.

$$25-\frac{625}{196}$$

Convert 25 to fraction \frac{4900}{196}.

$$\frac{4900}{196}-\frac{625}{196}$$

Since \frac{4900}{196} and \frac{625}{196} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4900-625}{196}$$

Subtract 625 from 4900 to get 4275.

$$\frac{4275}{196}$$

Factor

$$\frac{3 ^ {2} \cdot 5 ^ {2} \cdot 19}{2 ^ {2} \cdot 7 ^ {2}} = 21\frac{159}{196} = 21.81122448979592$$