Solve 314*005*(30/2-2)/3((30/2)^2+30*2/2+2^2)

$$\frac { 314 \times 005 \times ( \frac { 30 } { 2 } - 2 ) } { 3 } ( ( \frac { 30 } { 2 } ) ^ { 2 } + \frac { 30 \times 2 } { 2 } + 2 ^ { 2 } )$$

Evaluate

$$0$$

Solution Steps

Multiply 314 and 0 to get 0.

$$\frac{0\times 0\times 5\left(\frac{30}{2}-2\right)}{3}\left(\left(\frac{30}{2}\right)^{2}+\frac{30\times 2}{2}+2^{2}\right)$$

Multiply 0 and 0 to get 0.

$$\frac{0\times 5\left(\frac{30}{2}-2\right)}{3}\left(\left(\frac{30}{2}\right)^{2}+\frac{30\times 2}{2}+2^{2}\right)$$

Multiply 0 and 5 to get 0.

$$\frac{0\left(\frac{30}{2}-2\right)}{3}\left(\left(\frac{30}{2}\right)^{2}+\frac{30\times 2}{2}+2^{2}\right)$$

Divide 30 by 2 to get 15.

$$\frac{0\left(15-2\right)}{3}\left(\left(\frac{30}{2}\right)^{2}+\frac{30\times 2}{2}+2^{2}\right)$$

Subtract 2 from 15 to get 13.

$$\frac{0\times 13}{3}\left(\left(\frac{30}{2}\right)^{2}+\frac{30\times 2}{2}+2^{2}\right)$$

Multiply 0 and 13 to get 0.

$$\frac{0}{3}\left(\left(\frac{30}{2}\right)^{2}+\frac{30\times 2}{2}+2^{2}\right)$$

Zero divided by any non-zero number gives zero.

$$0\left(\left(\frac{30}{2}\right)^{2}+\frac{30\times 2}{2}+2^{2}\right)$$

Divide 30 by 2 to get 15.

$$0\left(15^{2}+\frac{30\times 2}{2}+2^{2}\right)$$

Calculate 15 to the power of 2 and get 225.

$$0\left(225+\frac{30\times 2}{2}+2^{2}\right)$$

Cancel out 2 and 2.

$$0\left(225+30+2^{2}\right)$$

Add 225 and 30 to get 255.

$$0\left(255+2^{2}\right)$$

Calculate 2 to the power of 2 and get 4.

$$0\left(255+4\right)$$

Add 255 and 4 to get 259.

$$0\times 259$$

Multiply 0 and 259 to get 0.

$$0$$

Factor

$$0$$