4/3 Warm Up-Factoring Difference of Squares and Equivalent Exp

4/3 Warm Up

We will review a couple of questions and then students will try a couple of problems.

Do you remember what perfect squares are?

Can you give some examples of perfect squares?

​Remember when you factor DIFFERENCE OF SQUARES:

1. Signs are DIFFERENT

2. Find the square root of each number.

a) 81x₂ - 100 b) 16b² - 49

Multiple Choice

Which expression is equivalent to $$9n^2-25$$ ?

• $$\left(3n-5\right)^2$$

• $$\left(3n+5\right)\left(3n-5\right)$$

• $$9\left(n-4\right)^2$$

• $$9\left(n+4\right)\left(n-4\right)$$

Multiple Choice

Which expression is a factor of $$36x^2-49$$ ?

• 18x - 7

• 6x - 49

• 18x - 49

• 6x - 7

What does equivalent mean?

​So if a question ask which expressions are equivalent then you can use the calculator UNLESS it is dealing with simplifying expressions with exponents.

​Try this one

Which expression is equivalent to (n - 4)(2n +7)?

a) 3n + 3

b) 2n² + 3n - 28

c) 2n² - 28

d) 2n² - n - 28

Multiple Choice

Which expression is equivalent to $$\left(h^2+9h-1\right)\left(-4h+3\right)$$ ?

• $$-4h^3-33h^2+31h-3$$

• $$4h^3+39h^2-23h-3$$

• $$-4h^3-39h^2+23h+3$$