Question

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

Short answer

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

Step-by-step solution

Step 2:Given informtion

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

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

Step 2: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.

Step 3:Simplification of the expression

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

since Zero divided by any real number except itself is 0.