Solve 0.5*29*5.36^2-0.5*29*4.26^2

$$0.5 \times 29 \times { 5.36 }^{ 2 } -0.5 \times 29 \times { 4.26 }^{ 2 }$$

Evaluate

$$153.439$$

Solution Steps

Multiply 0.5 and 29 to get 14.5.

$$14.5\times 5.36^{2}-0.5\times 29\times 4.26^{2}$$

Calculate 5.36 to the power of 2 and get 28.7296.

$$14.5\times 28.7296-0.5\times 29\times 4.26^{2}$$

Multiply 14.5 and 28.7296 to get 416.5792.

$$416.5792-0.5\times 29\times 4.26^{2}$$

Multiply 0.5 and 29 to get 14.5.

$$416.5792-14.5\times 4.26^{2}$$

Calculate 4.26 to the power of 2 and get 18.1476.

$$416.5792-14.5\times 18.1476$$

Multiply 14.5 and 18.1476 to get 263.1402.

$$416.5792-263.1402$$

Subtract 263.1402 from 416.5792 to get 153.439.

$$153.439$$

Factor

$$\frac{11 \cdot 13 \cdot 29 \cdot 37}{2 ^ {3} \cdot 5 ^ {3}} = 153\frac{439}{1000} = 153.439$$