Solve 40(15*15-5*5)^2/(15+5)^4

$$\frac { 40 ( 15 \times 15 - 5 \times 5 ) ^ { 2 } } { ( 15 + 5 ) ^ { 4 } }$$

Evaluate

$$10$$

Solution Steps

Multiply 15 and 15 to get 225.

$$\frac{40\left(225-5\times 5\right)^{2}}{\left(15+5\right)^{4}}$$

Multiply 5 and 5 to get 25.

$$\frac{40\left(225-25\right)^{2}}{\left(15+5\right)^{4}}$$

Subtract 25 from 225 to get 200.

$$\frac{40\times 200^{2}}{\left(15+5\right)^{4}}$$

Calculate 200 to the power of 2 and get 40000.

$$\frac{40\times 40000}{\left(15+5\right)^{4}}$$

Multiply 40 and 40000 to get 1600000.

$$\frac{1600000}{\left(15+5\right)^{4}}$$

Add 15 and 5 to get 20.

$$\frac{1600000}{20^{4}}$$

Calculate 20 to the power of 4 and get 160000.

$$\frac{1600000}{160000}$$

Divide 1600000 by 160000 to get 10.

$$10$$

Factor

$$2\times 5$$