Solve frac{(2*100^2)+(18*140^2)+(40*180^2)+(24*220^2)+(12*{260}^2)+(3*{300}^2)+{340}^2}{100}

$$\frac{ (2 \times { 100 }^{ 2 } )+(18 \times { 140 }^{ 2 } )+(40 \times { 180 }^{ 2 } )+(24 \times { 220 }^{ 2 } )+(12 \times { 260 }^{ 2 } )+(3 \times { 300 }^{ 2 } )+ { 340 }^{ 2 } }{ 100 }$$

Evaluate

$$40272$$

Solution Steps

Calculate 100 to the power of 2 and get 10000.

$$\frac{2\times 10000+18\times 140^{2}+40\times 180^{2}+24\times 220^{2}+12\times 260^{2}+3\times 300^{2}+340^{2}}{100}$$

Multiply 2 and 10000 to get 20000.

$$\frac{20000+18\times 140^{2}+40\times 180^{2}+24\times 220^{2}+12\times 260^{2}+3\times 300^{2}+340^{2}}{100}$$

Calculate 140 to the power of 2 and get 19600.

$$\frac{20000+18\times 19600+40\times 180^{2}+24\times 220^{2}+12\times 260^{2}+3\times 300^{2}+340^{2}}{100}$$

Multiply 18 and 19600 to get 352800.

$$\frac{20000+352800+40\times 180^{2}+24\times 220^{2}+12\times 260^{2}+3\times 300^{2}+340^{2}}{100}$$

Add 20000 and 352800 to get 372800.

$$\frac{372800+40\times 180^{2}+24\times 220^{2}+12\times 260^{2}+3\times 300^{2}+340^{2}}{100}$$

Calculate 180 to the power of 2 and get 32400.

$$\frac{372800+40\times 32400+24\times 220^{2}+12\times 260^{2}+3\times 300^{2}+340^{2}}{100}$$

Multiply 40 and 32400 to get 1296000.

$$\frac{372800+1296000+24\times 220^{2}+12\times 260^{2}+3\times 300^{2}+340^{2}}{100}$$

Add 372800 and 1296000 to get 1668800.

$$\frac{1668800+24\times 220^{2}+12\times 260^{2}+3\times 300^{2}+340^{2}}{100}$$

Calculate 220 to the power of 2 and get 48400.

$$\frac{1668800+24\times 48400+12\times 260^{2}+3\times 300^{2}+340^{2}}{100}$$

Multiply 24 and 48400 to get 1161600.

$$\frac{1668800+1161600+12\times 260^{2}+3\times 300^{2}+340^{2}}{100}$$

Add 1668800 and 1161600 to get 2830400.

$$\frac{2830400+12\times 260^{2}+3\times 300^{2}+340^{2}}{100}$$

Calculate 260 to the power of 2 and get 67600.

$$\frac{2830400+12\times 67600+3\times 300^{2}+340^{2}}{100}$$

Multiply 12 and 67600 to get 811200.

$$\frac{2830400+811200+3\times 300^{2}+340^{2}}{100}$$

Add 2830400 and 811200 to get 3641600.

$$\frac{3641600+3\times 300^{2}+340^{2}}{100}$$

Calculate 300 to the power of 2 and get 90000.

$$\frac{3641600+3\times 90000+340^{2}}{100}$$

Multiply 3 and 90000 to get 270000.

$$\frac{3641600+270000+340^{2}}{100}$$

Add 3641600 and 270000 to get 3911600.

$$\frac{3911600+340^{2}}{100}$$

Calculate 340 to the power of 2 and get 115600.

$$\frac{3911600+115600}{100}$$

Add 3911600 and 115600 to get 4027200.

$$\frac{4027200}{100}$$

Divide 4027200 by 100 to get 40272.

$$40272$$

Factor

$$2^{4}\times 3\times 839$$