Factor Expression...1

[nycmathguy]

College Algebra
Section R.8

Factor the expression so that only positive exponents occur.

How is 118 done?

 

[MathLover1]

118.

where x>=0

note that

so we have

=

.........factor out common 2*x^(1/2)

=

=

=

 

[nycmathguy]

118.
View attachment 2828 where x>=0

note that View attachment 2829

so we have

=View attachment 2830.........factor out common 2*x^(1/2)

=View attachment 2831

=View attachment 2832

=View attachment 2833

How does x^(3/2) = x^(2/2)?

 

[MathLover1]

x^(3/2) = x^(2/2)*x^(1/2)=x*x^(1/2)

or

=x*x^(1/2)

 

[nycmathguy]

x^(3/2) = x^(2/2)*x^(1/2)=x*x^(1/2)

or
View attachment 2835=x*x^(1/2)

Understood.