Solve 1-0.6^2*0.5^2-0.5^2*0.4^2-2*{0.5}^2*0.4*0.6-0.4*0.6*{0.5}^2=

$$1- { 0.6 }^{ 2 } \times { 0.5 }^{ 2 } - { 0.5 }^{ 2 } \times { 0.4 }^{ 2 } -2 \times { 0.5 }^{ 2 } \times 0.4 \times 0.6-0.4 \times 0.6 \times { 0.5 }^{ 2 } =$$

Evaluate

$$0.69$$

Solution Steps

Calculate 0.6 to the power of 2 and get 0.36.

$$1-0.36\times 0.5^{2}-0.5^{2}\times 0.4^{2}-2\times 0.5^{2}\times 0.4\times 0.6-0.4\times 0.6\times 0.5^{2}$$

Calculate 0.5 to the power of 2 and get 0.25.

$$1-0.36\times 0.25-0.5^{2}\times 0.4^{2}-2\times 0.5^{2}\times 0.4\times 0.6-0.4\times 0.6\times 0.5^{2}$$

Multiply 0.36 and 0.25 to get 0.09.

$$1-0.09-0.5^{2}\times 0.4^{2}-2\times 0.5^{2}\times 0.4\times 0.6-0.4\times 0.6\times 0.5^{2}$$

Subtract 0.09 from 1 to get 0.91.

$$0.91-0.5^{2}\times 0.4^{2}-2\times 0.5^{2}\times 0.4\times 0.6-0.4\times 0.6\times 0.5^{2}$$

Calculate 0.5 to the power of 2 and get 0.25.

$$0.91-0.25\times 0.4^{2}-2\times 0.5^{2}\times 0.4\times 0.6-0.4\times 0.6\times 0.5^{2}$$

Calculate 0.4 to the power of 2 and get 0.16.

$$0.91-0.25\times 0.16-2\times 0.5^{2}\times 0.4\times 0.6-0.4\times 0.6\times 0.5^{2}$$

Multiply 0.25 and 0.16 to get 0.04.

$$0.91-0.04-2\times 0.5^{2}\times 0.4\times 0.6-0.4\times 0.6\times 0.5^{2}$$

Subtract 0.04 from 0.91 to get 0.87.

$$0.87-2\times 0.5^{2}\times 0.4\times 0.6-0.4\times 0.6\times 0.5^{2}$$

Calculate 0.5 to the power of 2 and get 0.25.

$$0.87-2\times 0.25\times 0.4\times 0.6-0.4\times 0.6\times 0.5^{2}$$

Multiply 2 and 0.25 to get 0.5.

$$0.87-0.5\times 0.4\times 0.6-0.4\times 0.6\times 0.5^{2}$$

Multiply 0.5 and 0.4 to get 0.2.

$$0.87-0.2\times 0.6-0.4\times 0.6\times 0.5^{2}$$

Multiply 0.2 and 0.6 to get 0.12.

$$0.87-0.12-0.4\times 0.6\times 0.5^{2}$$

Subtract 0.12 from 0.87 to get 0.75.

$$0.75-0.4\times 0.6\times 0.5^{2}$$

Multiply 0.4 and 0.6 to get 0.24.

$$0.75-0.24\times 0.5^{2}$$

Calculate 0.5 to the power of 2 and get 0.25.

$$0.75-0.24\times 0.25$$

Multiply 0.24 and 0.25 to get 0.06.

$$0.75-0.06$$

Subtract 0.06 from 0.75 to get 0.69.

$$0.69$$

Factor

$$\frac{3 \cdot 23}{2 ^ {2} \cdot 5 ^ {2}} = 0.69$$