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48. CC.HSN.CN.C.8
48.7 Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
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Algebra II
48. CC.HSN.CN.C.8
48.7 Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
What You'll Learn
Recognize the difference of squares pattern: a² - b² = (a + b)(a - b)
Factor binomials by identifying perfect square terms with subtraction
Apply the conjugate pattern to expand expressions like (3x + 4y)(3x - 4y)
Verify that middle terms cancel when multiplying conjugate pairs
Factor complex expressions multiple times when further factoring is possible
What You'll Practice
1
Factoring binomials with squared variables and constants
2
Multiplying conjugate pairs to produce difference of squares
3
Factoring expressions with higher exponents like x - 16
4
Factoring multi-step problems requiring repeated difference of squares
5
Factoring expressions involving perfect square trinomials and difference of squares
Why This Matters
Mastering difference of squares is essential for simplifying complex algebraic expressions and solving quadratic equations efficiently. This pattern appears throughout algebra, precalculus, and calculus, making it a crucial shortcut that saves time and reduces errors in advanced math.
Before You Start — Make Sure You Can:
This Unit Includes
8 Video lessons
Practice exercises
Skills
Difference of Squares
Factoring
Conjugates
Polynomials
Special Products
Perfect Squares
Algebraic Patterns
OH Curriculum Aligned