Easy Algebra Step-by-Step

106 Easy Algebra Step-by-Step

f. 24 xx^2 [( 35 x 555 xx− 4 )]

Step 1. Check whether the expression meets the criteria for a polynomial

expression.

24 xx^2 [] 35 x 555 ()xx− 4 is composed of polynomials and contains

permissible components, so it is a polynomial expression.

Simplifying Polynomials

When you simplify polynomial expressions, you proceed in an orderly fash-

ion so that you do not violate the order of operations for real numbers. After

all, the variables in polynomials are simply stand-ins for real numbers, so it

is important that what you do is consistent with the rules for working with

real numbers.

Simplifying Polynomial Expressions

To simplify a polynomial expression:

1. Simplify within grouping symbols, if any. Start with the innermost
   grouping symbol and work outward.


2. Do powers, if indicated.


3. Do multiplication, if indicated.


4. Simplify the result.

Problem Simplify.

a. 522 ()− 5

b. − 3 ()yy++ 44 )++ 88

c. 9 xy xy() 3333 yyy− 5 x 22 x^2

d. ()))(()( +()(^2

e. 24 xx^2 [( 35 x 555 xx− 4 )]

f. 2 () 12

Solution

a. 522 ()− 5

Step 1. Do multiplication: (^2) ()a 5.
(^522) ()− 5
=+ 5 21 a− 0
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