Solve 1/2*300*14^2+1/2*400*14^2-1/2*700*10^2

$$\frac { 1 } { 2 } \times 300 \times 14 ^ { 2 } + \frac { 1 } { 2 } \times 400 \times 14 ^ { 2 } - \frac { 1 } { 2 } \times 700 \times 10 ^ { 2 }$$

Evaluate

$$33600$$

Solution Steps

Multiply \frac{1}{2} and 300 to get \frac{300}{2}.

$$\frac{300}{2}\times 14^{2}+\frac{1}{2}\times 400\times 14^{2}-\frac{1}{2}\times 700\times 10^{2}$$

Divide 300 by 2 to get 150.

$$150\times 14^{2}+\frac{1}{2}\times 400\times 14^{2}-\frac{1}{2}\times 700\times 10^{2}$$

Calculate 14 to the power of 2 and get 196.

$$150\times 196+\frac{1}{2}\times 400\times 14^{2}-\frac{1}{2}\times 700\times 10^{2}$$

Multiply 150 and 196 to get 29400.

$$29400+\frac{1}{2}\times 400\times 14^{2}-\frac{1}{2}\times 700\times 10^{2}$$

Multiply \frac{1}{2} and 400 to get \frac{400}{2}.

$$29400+\frac{400}{2}\times 14^{2}-\frac{1}{2}\times 700\times 10^{2}$$

Divide 400 by 2 to get 200.

$$29400+200\times 14^{2}-\frac{1}{2}\times 700\times 10^{2}$$

Calculate 14 to the power of 2 and get 196.

$$29400+200\times 196-\frac{1}{2}\times 700\times 10^{2}$$

Multiply 200 and 196 to get 39200.

$$29400+39200-\frac{1}{2}\times 700\times 10^{2}$$

Add 29400 and 39200 to get 68600.

$$68600-\frac{1}{2}\times 700\times 10^{2}$$

Multiply \frac{1}{2} and 700 to get \frac{700}{2}.

$$68600-\frac{700}{2}\times 10^{2}$$

Divide 700 by 2 to get 350.

$$68600-350\times 10^{2}$$

Calculate 10 to the power of 2 and get 100.

$$68600-350\times 100$$

Multiply 350 and 100 to get 35000.

$$68600-35000$$

Subtract 35000 from 68600 to get 33600.

$$33600$$

Factor

$$2^{6}\times 3\times 5^{2}\times 7$$