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Example 6.52 from Elementary Algebra, 6.4 Special Products
Special Products: example 6.52
Multiply:
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
Solution
First, recognize this as a product of conjugates. The binomials have the same first terms, and the same last terms, and one binomial is a sum and the other is a difference.
It fits the pattern. Square the first term, x. Square the last term, 8. The product is a difference of squares.
Your turn
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
Multiply:
How did it go?