<span>When we remove those parentheses, the sign of every term
within the parentheses changes.</span>
Problem 2. Remove the parentheses.
a) p + (q −r + s) <span>= p + q − r + s</span>
b) p − (q −r + s) <span>= p − q + r − s</span>
In each of the following problems, remove the parentheses, then simplify
by adding the numbers.
For example,
<span><span><span>(x − 3) − (y − 4)</span> = <span>x − 3 − y + 4</span></span> <span> = <span>x − y + 1.</span></span></span>
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.