# Is (2+ b ) + 6= 2+ ( b + 6)?

Jan 7, 2018

Yes

#### Explanation:

Technically yes. I'll show you 2 ways to prove it:

(a) See, since you don't have to do anything which involves the brackets (eg. multiplying the things inside bracket with something, or dividing, or exponents ... etc), you add it as it is.

So $\left(2 + b\right) + 6 = 2 + \left(b + 6\right)$ is basically $2 + b + 6 = 2 + b + 6$ if you add it. And as you can see, they are equal to each other.

Since nothing affects the brackets, the 2 expressions equals to each other.

Unless something affects the brackets on either/ or both the expression, then it will not be equal.

(b) Another way to prove that they are equal to each other is using a test point for b.
Eg. we can make b = 1, so replace all b's with 1.

$\left(2 + b\right) + 6 = 2 + \left(b + 6\right)$

$\left(2 + 1\right) + 6 = 2 + \left(1 + 6\right)$

$\left(3\right) + 6 = 2 + \left(7\right)$

$9 = 9$

As you can see, they are equal to each other.