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Factoring Algebraic Expressions: How do you factor the difference of two squares

How do you factor the difference of two squares? How do you factor the perfect square trinomial? How do you factor the sum and difference of two cubes? Which of these three makes the most sense to you? Explain why.

Solution Preview

To factor the difference of two squares, we use the formula a^2 - b^2 = (a+b)(a-b). So, first, we identify a and b in the given expression:
4x^2 - 9 = (2x)^2 - 3^2, since 4x^2 = (2x)^2 = (2x)(2x), and 9 = 3^2
Then, we use the formula with a=2x and ...

Solution Summary

This solution demonstrates step-by-step how to factor the difference of two squares.

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