Question 64830
5. Simplify by (multiplying out) or by (factoring and then dividing):
a. {{{(14x^3*y^4*z)/(7x^4*y^2*z^4)}}}
{{{(2*y^(4-2))/(x^(4-3)*z^(4-1))}}}
{{{highlight(2y^2/xz^3)}}}
:
b. {{{2xy(3x^2*y-5x^2*y+6)}}}
{{{2xy(3x^2*y)+2xy(-5x^2*y)+2xy(6)}}}
{{{6x^(1+2)*y^(1+1)-10x^(1+2)*y^(1+1)+12xy}}}
{{{highlight(6x^3*y^2-10x^3*y^2+12xy)}}}
:
c. {{{(2x+y-3)(3x-2y)}}}
{{{(2x+y-3)(3x)+(2x+y-3)(-2y)}}}
{{{6x^(1+1)+3xy-9x-4xy-2y^(1+1)+6y}}}
{{{highlight(6x^2-xy-9x-2y^2+6y)}}}
:
d. {{{(2x^3+7x^2-x-2)/(2x+1)}}}
I had to use long division for this one, which is all but impossible to show you on this.  

The answer is {{{highlight(x^2+3x-2)}}}.
If you have Word, I have mathtype and can send you an attachment to show you how to get this.