Solve (0565)(0565-1)(0565-2)(0002)/3!+0352(0565-3)(0001)/4!

$$\frac { ( 0565 ) ( 0565 - 1 ) ( 0565 - 2 ) ( 0002 ) } { 3 ! } + \frac { 0352 ( 0565 - 3 ) ( 0001 ) } { 4 ! }$$

Evaluate

$$0$$

Solution Steps

Multiply 0 and 565 to get 0.

$$\frac{0\left(0\times 565-1\right)\left(0\times 565-2\right)\times 0\times 0\times 0\times 2}{3!}+\frac{0\times 352\left(0\times 565-3\right)\times 0\times 0\times 0\times 1}{4!}$$

Multiply 0 and 565 to get 0.

$$\frac{0\left(0-1\right)\left(0\times 565-2\right)\times 0\times 0\times 0\times 2}{3!}+\frac{0\times 352\left(0\times 565-3\right)\times 0\times 0\times 0\times 1}{4!}$$

Subtract 1 from 0 to get -1.

$$\frac{0\left(-1\right)\left(0\times 565-2\right)\times 0\times 0\times 0\times 2}{3!}+\frac{0\times 352\left(0\times 565-3\right)\times 0\times 0\times 0\times 1}{4!}$$

Multiply 0 and -1 to get 0.

$$\frac{0\left(0\times 565-2\right)\times 0\times 0\times 0\times 2}{3!}+\frac{0\times 352\left(0\times 565-3\right)\times 0\times 0\times 0\times 1}{4!}$$

Multiply 0 and 565 to get 0.

$$\frac{0\left(0-2\right)\times 0\times 0\times 0\times 2}{3!}+\frac{0\times 352\left(0\times 565-3\right)\times 0\times 0\times 0\times 1}{4!}$$

Subtract 2 from 0 to get -2.

$$\frac{0\left(-2\right)\times 0\times 0\times 0\times 2}{3!}+\frac{0\times 352\left(0\times 565-3\right)\times 0\times 0\times 0\times 1}{4!}$$

Multiply 0 and -2 to get 0.

$$\frac{0\times 0\times 0\times 0\times 2}{3!}+\frac{0\times 352\left(0\times 565-3\right)\times 0\times 0\times 0\times 1}{4!}$$

Multiply 0 and 0 to get 0.

$$\frac{0\times 0\times 0\times 2}{3!}+\frac{0\times 352\left(0\times 565-3\right)\times 0\times 0\times 0\times 1}{4!}$$

Multiply 0 and 0 to get 0.

$$\frac{0\times 0\times 2}{3!}+\frac{0\times 352\left(0\times 565-3\right)\times 0\times 0\times 0\times 1}{4!}$$

Multiply 0 and 0 to get 0.

$$\frac{0\times 2}{3!}+\frac{0\times 352\left(0\times 565-3\right)\times 0\times 0\times 0\times 1}{4!}$$

Multiply 0 and 2 to get 0.

$$\frac{0}{3!}+\frac{0\times 352\left(0\times 565-3\right)\times 0\times 0\times 0\times 1}{4!}$$

The factorial of 3 is 6.

$$\frac{0}{6}+\frac{0\times 352\left(0\times 565-3\right)\times 0\times 0\times 0\times 1}{4!}$$

Zero divided by any non-zero number gives zero.

$$0+\frac{0\times 352\left(0\times 565-3\right)\times 0\times 0\times 0\times 1}{4!}$$

Multiply 0 and 352 to get 0.

$$0+\frac{0\left(0\times 565-3\right)\times 0\times 0\times 0\times 1}{4!}$$

Multiply 0 and 565 to get 0.

$$0+\frac{0\left(0-3\right)\times 0\times 0\times 0\times 1}{4!}$$

Subtract 3 from 0 to get -3.

$$0+\frac{0\left(-3\right)\times 0\times 0\times 0\times 1}{4!}$$

Multiply 0 and -3 to get 0.

$$0+\frac{0\times 0\times 0\times 0\times 1}{4!}$$

Multiply 0 and 0 to get 0.

$$0+\frac{0\times 0\times 0\times 1}{4!}$$

Multiply 0 and 0 to get 0.

$$0+\frac{0\times 0\times 1}{4!}$$

Multiply 0 and 0 to get 0.

$$0+\frac{0\times 1}{4!}$$

Multiply 0 and 1 to get 0.

$$0+\frac{0}{4!}$$

The factorial of 4 is 24.

$$0+\frac{0}{24}$$

Zero divided by any non-zero number gives zero.

$$0+0$$

Add 0 and 0 to get 0.

$$0$$

Factor

$$0$$