Solve -4,8^2+2,5^2+6,4^2/2*2,5*6,4

$$\frac { - 4,8 ^ { 2 } + 2,5 ^ { 2 } + 6,4 ^ { 2 } } { 2 \cdot 2,5 \cdot 6,4 }$$

Evaluate

$$-3,4375$$

Solution Steps

Calculate 8 to the power of 2 and get 64.

$$\frac{-4\times 64+2\times 5^{2}+6\times 4^{2}}{2\times 2,5\times 6,4}$$

Multiply -4 and 64 to get -256.

$$\frac{-256+2\times 5^{2}+6\times 4^{2}}{2\times 2,5\times 6,4}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{-256+2\times 25+6\times 4^{2}}{2\times 2,5\times 6,4}$$

Multiply 2 and 25 to get 50.

$$\frac{-256+50+6\times 4^{2}}{2\times 2,5\times 6,4}$$

Add -256 and 50 to get -206.

$$\frac{-206+6\times 4^{2}}{2\times 2,5\times 6,4}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{-206+6\times 16}{2\times 2,5\times 6,4}$$

Multiply 6 and 16 to get 96.

$$\frac{-206+96}{2\times 2,5\times 6,4}$$

Add -206 and 96 to get -110.

$$\frac{-110}{2\times 2,5\times 6,4}$$

Multiply 2 and 2,5 to get 5.

$$\frac{-110}{5\times 6,4}$$

Multiply 5 and 6,4 to get 32.

$$\frac{-110}{32}$$

Reduce the fraction \frac{-110}{32} to lowest terms by extracting and canceling out 2.

$$-\frac{55}{16}$$

Factor

$$-3,4375$$