How do you factor the difference of two squares?
A difference of squares is a two term expression. It is in the form a^2-b^2, where "a" and "b" can contain numbers, variables, etc. To factor it, you use the formula (a-b)(a+b).
How do you factor the perfect square trinomial?
A perfect square trinomial is in the form a^2 + 2ab + b^2. Again, a and b can contain numbers and variables. In this case, you factor it as (a+b)^2, which is a perfect square. That's the same thing as (a+b)(a+b).
How do you factor the sum and difference of two cubes?
A sum of cubes is in the form a^3 + b^3. You factor it using the formula (a+b)(a^2 - ab + b^2).
A difference of cubes is in the form a^3 - b^3. You factor it using the formula (a-b)(a^2 + ab + b^2).
To help remember these two, the (a_b) term uses the same sign as the original problem, and the (a^2 _ ab + b^2) term uses the opposite sign for the _ symbol.
Which of these three makes the most sense to you? Explain why.
I think the difference of squares make the most sense and is the easiest to remember and use. It's a simple formula with two terms on the left side and two binomial factors on the right side. The key way I remember it is that it's a difference of squares, and the two binomial factors have different signs.
Let me know if you have any questions on this, and thanks for choosing a high rating!