Home > A2C > Chapter 4 > Lesson 4.2.1 > Problem 4-82
4-82.
Factor each of the following expressions. Look for the difference of squares and common factors. Homework Help ✎
4x2 − 9y2
8x3 − 2x 7
x4 −81y4
8x3 + 2x7
Did you use a shortcut to factor the expressions in parts (a) through (c)? If so, describe it. If not, what pattern do you see in these expressions? How can you use that pattern to factor quickly?
Remember the rule (a + b)(a − b) = (a2 − b2).
(2x + 3y)(2x − 3y)
Remember to remove common factors.
2x3(4 − x4)
2x3(2 − x2)(2+ x2)
See part (a).
See part (b).
The pattern for parts (a) through (c) is that they contain a difference of squares.