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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?
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Out of a basic algebra II class
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).
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).
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!
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