Question

What is the correct order of operations for simplifying the expression (x+3)^2-(x^2+9)/2x^2?

Answer 1

The expression simplified is $\frac{3}{x}$

Step-by-step explanation:

The expression given in this problem is

$\frac{(x+3)^2-(x^2+9)}{2x^2}$

We proceed in the following way:

- First, we solve the square of the brackets:

$\frac{x^2+6x+9-x^2-9}{2x^2}$

- Now we add/subtract the similar terms:

$\frac{(x^2-x^2)+6x+(9-9)}{2x^2}=\frac{6x}{2x^2}$

- And now we simplify by 2x, and we get:

$\frac{6x}{2x^2}=\frac{3}{x}$

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