Polynomial Multiplication Square of a Binomial 4 6

Polynomial Multiplication: Square of a Binomial 4. 6 b S KM & PP 1

SQUARE In mathematics, the SQUARE of a quantity (or expression) is the result of multiplying the quantity by itself. 4. 6 b S KM & PP 2

SQUARE: An Example Using Area 92 is read “nine squared” 92 = 9(9) = 81 which is the area of a square having side 9 units. Area: 81 square units 9 units 4. 6 b S KM & PP 3

What happens when we Square a Binomial? 4. 6 b S KM & PP 4

Shortcut to Square (a+b) 4. 6 b S KM & PP 5

Shortcut to Square (a-b) 4. 6 b S KM & PP 6

Summary of the Shortcuts Study these patterns carefully. They will be very useful when factoring trinomials in an advanced section. 4. 6 b S KM & PP 7

Squaring A Binomial: Shortcut Example 1 4. 6 b S KM & PP 8

Squaring A Binomial: Shortcut Example 2 4. 6 b S KM & PP 9

Squaring A Binomial: Shortcut Example 3 4. 6 b S KM & PP 10

Squaring A Binomial: Shortcut Example 4 4. 6 b S KM & PP 11

Squaring A Binomial: Shortcut Example 5 4. 6 b S KM & PP 12

Squaring A Binomial: Shortcut Example 6 4. 6 b S KM & PP 13

Memorize these Patterns for now and for later! In a future section, we will need to work this problem in reverse. We will be given a perfect trinomial square and will need to rewrite it as a binomial squared. Here’s are two examples. 4. 6 b S KM & PP 14

That’s All for Now! 4. 6 b S KM & PP 15