Solve (36,5^2-27,5^2)*(57^3+33^3/90-57*33)=

$$( 36,5 ^ { 2 } - 27,5 ^ { 2 } ) \cdot ( \frac { 57 ^ { 3 } + 33 ^ { 3 } } { 90 } - 57 \cdot 33 ) =$$

Evaluate

$$129600$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\left(36\times 25-27\times 5^{2}\right)\left(\frac{57^{3}+33^{3}}{90}-57\times 33\right)$$

Multiply 36 and 25 to get 900.

$$\left(900-27\times 5^{2}\right)\left(\frac{57^{3}+33^{3}}{90}-57\times 33\right)$$

Calculate 5 to the power of 2 and get 25.

$$\left(900-27\times 25\right)\left(\frac{57^{3}+33^{3}}{90}-57\times 33\right)$$

Multiply 27 and 25 to get 675.

$$\left(900-675\right)\left(\frac{57^{3}+33^{3}}{90}-57\times 33\right)$$

Subtract 675 from 900 to get 225.

$$225\left(\frac{57^{3}+33^{3}}{90}-57\times 33\right)$$

Calculate 57 to the power of 3 and get 185193.

$$225\left(\frac{185193+33^{3}}{90}-57\times 33\right)$$

Calculate 33 to the power of 3 and get 35937.

$$225\left(\frac{185193+35937}{90}-57\times 33\right)$$

Add 185193 and 35937 to get 221130.

$$225\left(\frac{221130}{90}-57\times 33\right)$$

Divide 221130 by 90 to get 2457.

$$225\left(2457-57\times 33\right)$$

Multiply 57 and 33 to get 1881.

$$225\left(2457-1881\right)$$

Subtract 1881 from 2457 to get 576.

$$225\times 576$$

Multiply 225 and 576 to get 129600.

$$129600$$

Factor

$$2^{6}\times 3^{4}\times 5^{2}$$