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Exponents and polynomials · Grades 10–11

Multiply two binomials

Free worked example · No account needed

Example question

(x + 3)(x - 2)

Work through it

  1. 1

    x·x + x·(-2) + 3·x + 3·(-2)

    Multiply each term in the first binomial by each term in the second using distribution.

  2. 2

    x² - 2x + 3x - 6

    Evaluate each product before combining any terms.

  3. 3

    x² + x - 6

    Combine -2x and 3x because both terms contain x.

Final answer

x² + x - 6