Question

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

Answer 1

`((x+3)^2-(x^2+9))/(2x^2)\\\\use\ (a+b)^2=a^2+2ab+b^2\\\\=(x^2+2\cdot x\cdot3+3^2-x^2-9)/(2x^2)=(x^2-x^2+6x+9-9)/(2x^2)\\\\=(6x)/(2x^2)=(3)/(x)`

Answer 2

Answer with explanation:

The correct order of simplifying the expression is:

1. Opening the bracket Using Identity

2. Adding and Subtracting Like terms

The given expression is

`=((x+3)^2-(x^2+9))/(2x^2)\\\\=(x^2+6 x+9-x^2-9)/(2x^2)\\\\=(6x)/(2x^2)\\\\=(3)/(x)\\\\ \text{Used the identity and law of indices}\\\\(a+b)^2=a^2+2 a b+b^2\\\\ (x^a)/(x^b)=x^(a-b)`