Solve 100*(100+1)*(200+1)/6-4207*(20+1)*(40+2)/6

$$\frac { 100 \times ( 100 + 1 ) \times ( 200 + 1 ) } { 6 } - \frac { 4207 \times ( 20 + 1 ) \times ( 40 + 2 ) } { 6 }$$

Evaluate

$$-280079$$

Solution Steps

Add 100 and 1 to get 101.

$$\frac{100\times 101\left(200+1\right)}{6}-\frac{4207\left(20+1\right)\left(40+2\right)}{6}$$

Multiply 100 and 101 to get 10100.

$$\frac{10100\left(200+1\right)}{6}-\frac{4207\left(20+1\right)\left(40+2\right)}{6}$$

Add 200 and 1 to get 201.

$$\frac{10100\times 201}{6}-\frac{4207\left(20+1\right)\left(40+2\right)}{6}$$

Multiply 10100 and 201 to get 2030100.

$$\frac{2030100}{6}-\frac{4207\left(20+1\right)\left(40+2\right)}{6}$$

Divide 2030100 by 6 to get 338350.

$$338350-\frac{4207\left(20+1\right)\left(40+2\right)}{6}$$

Add 20 and 1 to get 21.

$$338350-\frac{4207\times 21\left(40+2\right)}{6}$$

Multiply 4207 and 21 to get 88347.

$$338350-\frac{88347\left(40+2\right)}{6}$$

Add 40 and 2 to get 42.

$$338350-\frac{88347\times 42}{6}$$

Multiply 88347 and 42 to get 3710574.

$$338350-\frac{3710574}{6}$$

Divide 3710574 by 6 to get 618429.

$$338350-618429$$

Subtract 618429 from 338350 to get -280079.

$$-280079$$

Factor

$$-280079$$