Question 148470
1.  {{{(1/(x-1)) - (4/(x^2-1)) + (2/(x+1))}}}


Factor {{{x^2-1}}}

{{{(1/(x-1)) - (4/(x-1)(x+1)) + (2/(x+1))}}}


Multiply {{{(1/(x-1))}}} by {{{(x+1)/(x+1)}}}
and {{{(2/(x+1))}}} by {{{(x-1)/(x-1)}}}


{{{(1(x+1)/(x-1)(x+1)) - (4/(x-1)(x+1)) + (2(x-1)/(x+1)(x-1))}}}


Simplify the numerators


{{{((x+1)/(x-1)(x+1)) - (4/(x-1)(x+1)) + ((2x-2)/(x+1)(x-1))}}}


Add the numerators over a single denominator


{{{(((x+1)-(4)+(2x-2))/(x-1)(x+1))}}}


Combine like terms in the numerator


{{{((3x-5)/(x-1)(x+1))}}}
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2.Find the product:

(3x-7)(2x+4)

F.O.I.L.
First Outside Inside Last


First (terms):
(3x)(2x) or {{{6x^2}}}


+


Outside (terms):
(3x)(4) or {{{12x}}}


+


Inside (terms):
(-7)(2x) or {{{-14x}}}


+


Last (terms):
(-7)(4) or {{{-28}}}


Add the results:

{{{6x^2+12x+-14x-28}}}


Combine like terms (the x terms)


{{{6x^2-2x-28}}}