Question

Use the Properties of Identity, Inverse and Zero , simplify$\frac{0}{x-3},x\ne 3$

Short answer

Simplified form of$\frac{0}{x-3},x\ne 3is0.$

Step-by-step solution

. Given information

Given expression is $\frac{0}{x-3},x\ne 3$

Simplify the given expression using the properties of zero of division.

. Explaining the properties of zero of division

Division by Zero: For any real number a, a ≠ 0,0/a=0 Zero divided by any real number, except itself, is zero.

a/0 is undefine Division by zero is undefined Division by Zero.

. Simplification of the expression

consider the expression ,when simplifying we get$$\begin{gathered} \frac{0}{x-3},x\ne 3 \\ \frac{0}{x-3}=0,x\ne 3 \end{gathered}$$