Solve 0,6^2-2*0,6*0,2+0,1^2/1,5-1,5^2

$$\frac { 0,6 ^ { 2 } - 2 \cdot 0,6 \cdot 0,2 + 0,1 ^ { 2 } } { 1,5 - 1,5 ^ { 2 } }$$

Evaluate

$$\frac{12}{1175}\approx 0,010212766$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$\frac{0\times 36-2\times 0,6\times 0,2+0\times 1^{2}}{1,5-1\times 5^{2}}$$

Multiply 0 and 36 to get 0.

$$\frac{0-2\times 0,6\times 0,2+0\times 1^{2}}{1,5-1\times 5^{2}}$$

Multiply 2 and 0,6 to get 1,2.

$$\frac{0-1,2\times 0,2+0\times 1^{2}}{1,5-1\times 5^{2}}$$

Multiply 1,2 and 0,2 to get 0,24.

$$\frac{0-0,24+0\times 1^{2}}{1,5-1\times 5^{2}}$$

Subtract 0,24 from 0 to get -0,24.

$$\frac{-0,24+0\times 1^{2}}{1,5-1\times 5^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{-0,24+0\times 1}{1,5-1\times 5^{2}}$$

Multiply 0 and 1 to get 0.

$$\frac{-0,24+0}{1,5-1\times 5^{2}}$$

Add -0,24 and 0 to get -0,24.

$$\frac{-0,24}{1,5-1\times 5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{-0,24}{1,5-1\times 25}$$

Multiply 1 and 25 to get 25.

$$\frac{-0,24}{1,5-25}$$

Subtract 25 from 1,5 to get -23,5.

$$\frac{-0,24}{-23,5}$$

Expand \frac{-0,24}{-23,5} by multiplying both numerator and the denominator by 100.

$$\frac{-24}{-2350}$$

Reduce the fraction \frac{-24}{-2350} to lowest terms by extracting and canceling out -2.

$$\frac{12}{1175}$$

Factor

$$\frac{3 \cdot 2 ^ {2}}{47 \cdot 5 ^ {2}} = 0.010212765957446808$$