Math 141
posted by John Terry on .
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.

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 )