Solve (2+1.23+2.34)*(1.23+2.34+3.45)-(1.23+2.34)*(2+1.23+2.36+3.45)

$$( 2 + 1.23 + 2.34 ) \times ( 1.23 + 2.34 + 3.45 ) - ( 1.23 + 2.34 ) \times ( 2 + 1.23 + 2.36 + 3.45 )$$

Evaluate

$$6.8286$$

Solution Steps

Add 2 and 1.23 to get 3.23.

$$\left(3.23+2.34\right)\left(1.23+2.34+3.45\right)-\left(1.23+2.34\right)\left(2+1.23+2.36+3.45\right)$$

Add 3.23 and 2.34 to get 5.57.

$$5.57\left(1.23+2.34+3.45\right)-\left(1.23+2.34\right)\left(2+1.23+2.36+3.45\right)$$

Add 1.23 and 2.34 to get 3.57.

$$5.57\left(3.57+3.45\right)-\left(1.23+2.34\right)\left(2+1.23+2.36+3.45\right)$$

Add 3.57 and 3.45 to get 7.02.

$$5.57\times 7.02-\left(1.23+2.34\right)\left(2+1.23+2.36+3.45\right)$$

Multiply 5.57 and 7.02 to get 39.1014.

$$39.1014-\left(1.23+2.34\right)\left(2+1.23+2.36+3.45\right)$$

Add 1.23 and 2.34 to get 3.57.

$$39.1014-3.57\left(2+1.23+2.36+3.45\right)$$

Add 2 and 1.23 to get 3.23.

$$39.1014-3.57\left(3.23+2.36+3.45\right)$$

Add 3.23 and 2.36 to get 5.59.

$$39.1014-3.57\left(5.59+3.45\right)$$

Add 5.59 and 3.45 to get 9.04.

$$39.1014-3.57\times 9.04$$

Multiply 3.57 and 9.04 to get 32.2728.

$$39.1014-32.2728$$

Subtract 32.2728 from 39.1014 to get 6.8286.

$$6.8286$$

Factor

$$\frac{3 \cdot 19 \cdot 599}{2 ^ {3} \cdot 5 ^ {4}} = 6\frac{4143}{5000} = 6.8286$$