Final answer:
The FOIL method and shortcut to find the product of (a + b)(a - b) as a^2 - b^2.
Explanation:
The product of (a + b)(a - b) can be found using the FOIL method, which stands for First, Outer, Inner, Last. Applying FOIL, we get: aa - ab + ba - bb = a^2 - ab + ba - b^2. This simplifies to a^2 - b^2 by combining like terms.
A shortcut to finding this product without using FOIL involves recognizing that (a + b)(a - b) represents the difference of squares pattern, where the product simplifies to a^2 - b^2 directly without the need to expand using FOIL.
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