EDGE Math 8

Identify the type of special product in each expression. Then choose your answer.

1.	$(2 a + 5) (2 a + 5)$

product of two squares

square of a binomial

product giving a difference of two squares

Answer: square of a binomial

2.	$(10 q - 7) (10 q + 7)$

product of two squares

product of a sum and a difference of two terms

product giving a difference of two cubes

Answer: product of a sum and a difference of two terms

3.	${(3 a - 2 b)}^{2}$

product of two squares

square of a binomial

product giving a difference of two squares

Answer: square of a binomial

4.	$(t + 1) (t + 1) (t + 1)$

cube of two squares

cube of a binomial

product giving a difference of two cubes

Answer: cube of a binomial

5.	$(x y + 4 a) (x y - 4 a)$

product of two squares

product of a sum and a difference of two terms

product giving a difference of two cubes

Answer: product of a sum and a difference of two terms

6.	$(x - 3) (x^{2} + 3 x + 9)$

product of two squares

product of a sum and a difference of two terms

product giving a difference of two cubes

Answer: product giving a difference of two cubes

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