Respuesta :

When we remove those parentheses, the sign of every term
within the parentheses changes.

Problem 2.   Remove the parentheses.

a)   p + (q −r + s) = p + q − r + s

b)   p − (q −r + s) = p − q + r − s

In each of the following problems, remove the parentheses, then simplify
by adding the numbers.

For example,

(x − 3) − (y − 4)  =  x − 3 − y + 4    =  x − y + 1.

The sign preceding  (x − 3)  is understood to be + . Therefore the signs within those parentheses do not change.

But the sign preceding (y − 4) is minus.  Therefore, y changes to −y, and −4 changes to +4.

Finally, it is the style in algebra to to write the literal terms, x − y, to the left of the numerical term.