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Home > A2C > Chapter 13 > Lesson 13.1.4 > Problem 13-76

13-76.
  1. Parts (a) through (d) of problem 13-75 represent a general pattern known as the sum and difference of cubes. Use this pattern to factor each of the following polynomials. Homework Help ✎

    1. x3 + y3

    2. x3 − 27

    3. 8x3y3

    4. x3 + 1

    5. Make up another problem involving the sum or difference of cubes and show how to factor it.

See problem 13-75.

(x + y)(x2xy + y2)

See part (a).

See part (a).

(2xy)(4x2 + 2xy + y2)

See part (a).

Substitute values into the expression in part (a). Then factor as in part (a).