Multiplying Using the Product of Conjugates Pattern
Apply the Product of Conjugates Pattern to multiply . Confirm the binomials are conjugates: both share the same first term and the same last term , with one using addition and the other subtraction. Use the formula , where and .
Step 1 — Square the first term, : . Both the coefficient and the variable must be squared separately: and . Step 2 — Square the last term, : . Step 3 — Write the difference of squares:
The product is .
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Ch.5 Polynomials and Polynomial Functions - Intermediate Algebra @ OpenStax
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Multiplying Using the Product of Conjugates Pattern
Multiplying Using the Product of Conjugates Pattern