Chapter 5: Special Product Formulas

Question 1

Product of a sum and difference/Difference of 2 squares:

(a+b)(a-b)

Answer 1

Product of a sum and difference/Difference of 2 squares:

a²-b²

(Try Section 5.2 exercises 87, 105, 103, and 106 and Section 5.5 exercizes 15, 17, 23, 27, 21, 29, 35, and 37 in the textbook)

Question 2

Square of a Binomial (addition):

(a+b)²

Answer 2

Square of a Binomial (addition):

a²+2ab+b²

Question 3

Square of a Binomial (subtraction):

(a-b)²

Answer 3

Square of a Binomial (subtraction):

a²-2ab+b²

Question 4

Difference of 2 cubes:

a³-b³

Answer 4

Difference of 2 cubes:

(a-b)(a²+ab+b²)

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Question 5

Sum of 2 cubes:

a³+b³

Answer 5

Sum of 2 cubes:

(a+b)(a^2-ab+b²)

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