Solve (48/13)^2-(117,55)^2

$$( 4 \frac { 8 } { 13 } ) ^ { 2 } - ( 117,55 ) ^ { 2 }$$

Evaluate

$$-\frac{932656969}{67600}\approx -13796,700724852$$

Solution Steps

Multiply 4 and 13 to get 52.

$$\left(\frac{52+8}{13}\right)^{2}-117,55^{2}$$

Add 52 and 8 to get 60.

$$\left(\frac{60}{13}\right)^{2}-117,55^{2}$$

Calculate \frac{60}{13} to the power of 2 and get \frac{3600}{169}.

$$\frac{3600}{169}-117,55^{2}$$

Calculate 117,55 to the power of 2 and get 13818,0025.

$$\frac{3600}{169}-13818,0025$$

Subtract 13818,0025 from \frac{3600}{169} to get -\frac{932656969}{67600}.

$$-\frac{932656969}{67600}$$

Factor

$$-\frac{932656969}{67600} = -13796\frac{47369}{67600} = -13796.700724852071$$