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

13-76.

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 ✎*x*^{3}+*y*^{3}*x*^{3}− 278

*x*^{3}−*y*^{3}*x*^{3}+ 1Make up another problem involving the sum or difference of cubes and show how to factor it.

See problem 13-75.

(*x* + *y*)(*x*^{2} − *xy* + *y*^{2})

See part (a).

See part (a).

(2*x* − *y*)(4*x*^{2} + 2*xy* + *y*^{2})

See part (a).

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