EXAMPLE
Square (2x3).
SOLUTION
ð2x 3 Þ^2 ¼ð2xÞ^2 2 2x 3 þð 3 Þ^2
¼4x^2 12xþ 9
EXAMPLE
Square (3xþ1).
SOLUTION
ð3xþ 1 Þ^2 ¼ð3xÞ^2 þ 2 3x 1 þ 12
¼9x^2 þ6xþ 1
PRACTICE
- (xþ1)^2
- (x6)^2
- (2xþ5)^2
- (4xþ7)^2
- (8x3)^2
ANSWERS
- x^2 þ2xþ 1
- x^2 12xþ 36
- 4x^2 þ20xþ 25
- 16x^2 þ56xþ 49
- 64x^2 48xþ 9
Multiplication of Two Polynomials
Two polynomials can be multiplied by using the distributive property as
many times as needed. It is the same as shown for two binomials.
EXAMPLE
Multiply (xþ2)(x^2 þ5x6).
CHAPTER 12 Monomials and Polynomials 243