Pre-Algebra Demystified

EXAMPLE

Square (2x
3).

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

1. (xþ1)^2


2. (x
   6)^2


3. (2xþ5)^2


4. (4xþ7)^2


5. (8x
   3)^2

ANSWERS

1. x^2 þ2xþ 1


2. x^2
   12xþ 36


3. 4x^2 þ20xþ 25


4. 16x^2 þ56xþ 49


5. 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 þ5x
6).

CHAPTER 12 Monomials and Polynomials 243