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Back to 10.3 Multiply Polynomials

10.3 Exercise 125

Avg difficulty 2.5

Mental math You can use binomial multiplication to multiply numbers without a calculator. Say you need to multiply 1313 times 15.15 . Think of 1313 as 10+310 + 3 and 1515 as 10+5.10 + 5 .

  1. ⓐ Multiply (10+3)(10+5)\left(10 + 3\right) \left(10 + 5\right) by the FOIL method.
  2. ⓑ Multiply 13·1513 \cdot 15 without using a calculator.
  3. ⓒ Which way is easier for you? Why?

OpenStax Prealgebra 2e, 10.3 Multiply Polynomials, exercise 125

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