Question

Which of the following expressions is equivalent to a+(– b)? Select all that apply.
(– b ) + a
b + (– a)
(– a ) + b
None of the above

Answer 1

Answer: first  option.

Step-by-step explanation:

Given the expression:

$a+(- b)$

You need to remember the multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-$

Then, you know that:

$a+(- b)=a-b$

So, an equivalent expression must have $a$ and $-b$. Let's check the expressions provided in the options:

$(- b ) + a=-b+a \\\\b + (-a)=b-a \\\\(-a ) + b=-a+b$

You can observe that the equativalent expression is:

$(- b ) + a$

Answer 2

Answer:

(-b)+a

Step-by-step explanation:

You can switch it.

a+(-b)=(-b)+a