Solve {left(125/14right)}^2-25^2=

$${ \left( \frac{ 125 }{ 14 } \right) }^{ 2 } - { 25 }^{ 2 } =$$

Evaluate

$$-\frac{106875}{196}\approx -545.280612245$$

Solution Steps

Calculate \frac{125}{14} to the power of 2 and get \frac{15625}{196}.

$$\frac{15625}{196}-25^{2}$$

Calculate 25 to the power of 2 and get 625.

$$\frac{15625}{196}-625$$

Convert 625 to fraction \frac{122500}{196}.

$$\frac{15625}{196}-\frac{122500}{196}$$

Since \frac{15625}{196} and \frac{122500}{196} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15625-122500}{196}$$

Subtract 122500 from 15625 to get -106875.

$$-\frac{106875}{196}$$

Factor

$$-\frac{106875}{196} = -545\frac{55}{196} = -545.280612244898$$