# Math 141

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I am having trouble with this problem.

perform the indicated operations and simpily the result as much as possible

a) (3x - 2) (x^2 + 2x - 4 )

the answer i got so far is 3x^3 + 4x^2 -16x + 8. Am i done or i have to conitnue to simplify? if so, what do i need to do?

b) 10x^3y^2 - 14x^2y^2 - 12y^2

the answer i got is 2y^2 ( 5x^3 - 7x^2 - 12 )

once again i am having trouble simplify this problem. Please explain

C) ( x - 1 ) ^ 7/2 - ( x - 1 ) ^ 3/2

i don't know what to do with this problem. Please explain.

Thank you.

• Math 141 -

The answers a) and b) are correct.

c )

( x - 1 ) ^ ( 7 / 2 ) - ( x - 1 ) ^ ( 3 / 2 ) =

( x - 1 ) ^ ( 3 / 2 ) * [ ( x - 1 ) ^ ( 4 / 2 ) - 1 ] =

( x - 1 ) ^ ( 3 / 2 ) * [ ( x - 1 ) ^ 2 - 1 ] =

( x - 1 ) ^ ( 3 / 2 ) * [ x ^ 2 - 2x + 1 - 1 ] =

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

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

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