Factor Expression...1

nycmathguy · Apr 27, 2022

College Algebra
Section R.8

Factor the expression so that only positive exponents occur.

How is 118 done?

$Screenshot_20220427-040016_Samsung Notes.jpg$

MathLover1 · Apr 27, 2022

118.
$upload_2022-4-27_12-47-56.gif$ where x>=0

note that $upload_2022-4-27_12-48-56.gif$

so we have

= $upload_2022-4-27_12-49-46.gif$ .........factor out common 2*x^(1/2)

= $upload_2022-4-27_12-50-32.gif$

= $upload_2022-4-27_12-50-59.gif$

= $upload_2022-4-27_12-51-26.gif$

nycmathguy · Apr 27, 2022

MathLover1 said:

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
Click to expand...

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

MathLover1 · Apr 27, 2022

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

or
$upload_2022-4-27_16-27-58.gif$ =x*x^(1/2)

nycmathguy · Apr 28, 2022

MathLover1 said:

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

or
View attachment 2835 =x*x^(1/2)
Click to expand...

Understood.

Factor Expression...1

nycmathguy

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Factor Expression...1

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