Multiplying Polynomials 6
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Lesson Summary:
In this lesson on multiplying polynomials, the focus is on squaring a binomial. The instructor uses the order of operations to simplify each expression, emphasizing that 3 + 4 squared is not the same as 3 squared + 4 squared. Using the formula for squaring a binomial, a + b squared = a squared + 2ab + b squared, and a - b squared = a squared - 2ab + b squared, students learn how to multiply out expressions and the difference between a plus or minus in the middle of the binomial. The lesson ends with a cheer to help students remember these formulas.
Lesson Description:
Part 6 of Multiplying Polynomials covers the special product of squaring a binomial.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- What is a special binomial product?
- How do you multiply two binomials?
- What are some methods for multiplying binomials?
- How do you square a binomial?
- How would you multiply (3 + 4)^2?
- Why does (a + b)^2 not equal a^2 + b^2?
- What is the formula for squaring a binomial?
- How do you multiply (a + b)(a + b)?
- How do you multiply (3x + 5)^2 using FOIL and using the binomial square formula?
- How do you multiply (2x + 7)^2?
- What does (a - b)^2 equal?
- What is the special product formula for the difference of 2 squares?
- How do you multiply (x + 8)(x - 8)?
- How do you multiply (x + 8)^2?
- How do you multiply (x - 8)^2?
- What is the cheer or chant for remembering the formulas for squaring a binomial?
- How do you multiply (3x - 2)^2 using the formula cheer?
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Staff Review
This lesson explains squaring a binomial. The formula for squaring a binomial is explained by first multiplying (a + b)(a + b) using FOIL. Several examples are shown and explained. Finally, a catchy cheer / chant is shown for remembering the formulas.
