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Back to 6.3 Multiply Polynomials

6.3 Exercise 182

Avg difficulty 2.5

Mental math You can use binomial multiplication to multiply numbers without a calculator. Say you need to multiply 18 times 17. Think of 18 as 20−220 - 2 and 17 as 20−320 - 3.

  1. ⓐ Multiply (20−2)(20−3)\left(20 - 2\right) \left(20 - 3\right) by the FOIL method.
  2. ⓑ Multiply 18·1718 \cdot 17 without using a calculator.
  3. ⓒ Which way is easier for you? Why?

OpenStax Elementary Algebra 2e, 6.3 Multiply Polynomials, exercise 182

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Adapted from Elementary Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Elementary Algebra 2e. Imported at revision 77a933c.