Help Me, please.

Exercise: Perform the operation indicated. Express the results with fractional exponents and with no denominators.

a^{-2 }+ a^{-1}b - b^{2 }/ a^{2}b^{-1}

ManuelBautista2019
Feb 26, 2018

#1**+2 **

This is very similar to all of your other postings over the last few days...are you catching on yet??????

This one is (assuming there is a parentheses around the numerator) ....

a^-2 / a^2b^-1 + a^-1b / a^2b^-1 - b^2 / a^2b^-1

b / a^4 + b^2 / a^3 - b^3 /a^2

a^-2 b ( a^-2 + b a^-1 - b^2)

ElectricPavlov
Feb 26, 2018

#3**+1 **

Manuel says that this is actually

a^{-2} + a^{-1}b - b^{2}/ (a^{2}b^{-1} )

So we have

a^{-2} + a^{-1}b - b^{2}* b * a^{-2}

a^{-2} + a^{-1}b - b^{3}*a^{-2 } factor out a^{-2}

a^{-2} [ 1 + ab - b^{3} ]

CPhill
Feb 26, 2018