### Home > A2C > Chapter 4 > Lesson 4.2.1 > Problem 4-82

4-82.

Remember the rule (*a* + *b*)(*a* − *b*) = (*a*^{2} − *b*^{2}).

(2*x* + 3*y*)(2*x* − 3*y*)

Remember to remove common factors.

2*x*^{3}(4 − *x*^{4})

2*x*^{3}(2 − *x*^{2})(2+ *x*^{2})

See part (a).

See part (b).

The pattern for parts (a) through (c) is that they contain a difference of squares.