Solve 1/2*33^3-5/2*33^2

$$\frac{ 1 }{ 2 } \times { 33 }^{ 3 } - \frac{ 5 }{ 2 } \times { 33 }^{ 2 }$$

Evaluate

$$15246$$

Solution Steps

Calculate 33 to the power of 3 and get 35937.

$$\frac{1}{2}\times 35937-\frac{5}{2}\times 33^{2}$$

Multiply \frac{1}{2} and 35937 to get \frac{35937}{2}.

$$\frac{35937}{2}-\frac{5}{2}\times 33^{2}$$

Calculate 33 to the power of 2 and get 1089.

$$\frac{35937}{2}-\frac{5}{2}\times 1089$$

Express \frac{5}{2}\times 1089 as a single fraction.

$$\frac{35937}{2}-\frac{5\times 1089}{2}$$

Multiply 5 and 1089 to get 5445.

$$\frac{35937}{2}-\frac{5445}{2}$$

Since \frac{35937}{2} and \frac{5445}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35937-5445}{2}$$

Subtract 5445 from 35937 to get 30492.

$$\frac{30492}{2}$$

Divide 30492 by 2 to get 15246.

$$15246$$

Factor

$$2\times 3^{2}\times 7\times 11^{2}$$