ExplanationFirst, multiply out (remember FOIL = First, Outer, Inner, Last) each of the terms in parentheses:

\((x^2 - 2x - 2x + 4) + (x^2 - 1x - 1x + 1) + (x^2) + (x^2 + 1x + 1x + 1) + (x^2 + 2x + 2x + 4)\)

Note that some of the terms will cancel each other out (e.g., –x and x, –2x and 2x):

\((x^2 + 4) + (x^2 + 1) + (x^2) + (x^2 + 1) + (x^2 + 4)\)

Finally, combine:

\(5x^2 + 10\)

_________________

Sandy

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test