Solve =100*30^3/12+(100*30)(56-15)^2+130*120^3/12+(120*30)(60-44)^2

$$= \frac { 100 \times 30 ^ { 3 } } { 12 } + ( 100 \times 30 ) ( 56 - 15 ) ^ { 2 } + \frac { 130 \times 120 ^ { 3 } } { 12 } + ( 120 \times 30 ) ( 60 - 44 ) ^ { 2 }$$

Evaluate

$$24909600$$

Solution Steps

Do the multiplications.

$$\frac{100\times 30^{3}}{12}+3000\left(56-15\right)^{2}+\frac{130\times 120^{3}}{12}+3600\left(60-44\right)^{2}$$

Calculate 30 to the power of 3 and get 27000.

$$\frac{100\times 27000}{12}+3000\left(56-15\right)^{2}+\frac{130\times 120^{3}}{12}+3600\left(60-44\right)^{2}$$

Multiply 100 and 27000 to get 2700000.

$$\frac{2700000}{12}+3000\left(56-15\right)^{2}+\frac{130\times 120^{3}}{12}+3600\left(60-44\right)^{2}$$

Divide 2700000 by 12 to get 225000.

$$225000+3000\left(56-15\right)^{2}+\frac{130\times 120^{3}}{12}+3600\left(60-44\right)^{2}$$

Subtract 15 from 56 to get 41.

$$225000+3000\times 41^{2}+\frac{130\times 120^{3}}{12}+3600\left(60-44\right)^{2}$$

Calculate 41 to the power of 2 and get 1681.

$$225000+3000\times 1681+\frac{130\times 120^{3}}{12}+3600\left(60-44\right)^{2}$$

Multiply 3000 and 1681 to get 5043000.

$$225000+5043000+\frac{130\times 120^{3}}{12}+3600\left(60-44\right)^{2}$$

Add 225000 and 5043000 to get 5268000.

$$5268000+\frac{130\times 120^{3}}{12}+3600\left(60-44\right)^{2}$$

Calculate 120 to the power of 3 and get 1728000.

$$5268000+\frac{130\times 1728000}{12}+3600\left(60-44\right)^{2}$$

Multiply 130 and 1728000 to get 224640000.

$$5268000+\frac{224640000}{12}+3600\left(60-44\right)^{2}$$

Divide 224640000 by 12 to get 18720000.

$$5268000+18720000+3600\left(60-44\right)^{2}$$

Add 5268000 and 18720000 to get 23988000.

$$23988000+3600\left(60-44\right)^{2}$$

Subtract 44 from 60 to get 16.

$$23988000+3600\times 16^{2}$$

Calculate 16 to the power of 2 and get 256.

$$23988000+3600\times 256$$

Multiply 3600 and 256 to get 921600.

$$23988000+921600$$

Add 23988000 and 921600 to get 24909600.

$$24909600$$

Factor

$$2^{5}\times 3\times 5^{2}\times 97\times 107$$