CHAPTER 7
SECTION 7.4
Factoring the Difference of Perfect Squares
MINI LESSON
Difference of Perfect Squares
A difference of perfect squares has the form \(a^2 - b^2\).
It factors as \((a-b)(a+b)\).
Look for terms that are both perfect squares and separated by subtraction.
This pattern is useful for factoring expressions quickly.
Question 1
Which expression is equivalent to \(100x^2 - 16\)?
Question 2
When factored, the expression \(x^3 - 36x\) is equivalent to
Question 3
Which expression is equivalent to \(a^8 - b^6\)?
Answer Key
Factoring the Difference of Perfect Squares
- 1.C. \((10x - 4)(10x + 4)\)
- 2.C. \(x(x + 6)(x - 6)\)
- 3.C. \((a^4)^2 - (b^3)^2\)