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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

8. Differences of Squares

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Exercise 63 Page 62

Write the difference of squares pattern and expand the right-hand product using the FOIL method.

See solution.

Practice makes perfect

Let's write the difference of squares pattern. a^2- b^2 = ( a+ b)( a- b)

Notice that the left-hand side has no middle term with a variable. To see why that happens, let's expand the product on the right-hand side by using the F O I L method.

As we can see, the outer and the inner terms are opposite of each other. Then, when these terms are added together the sum is zero. ( a+ b)( a- b) &= a^2 - a b + a b - b^2 &= a^2- b^2

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Exercises p.60-63