Simplify fractions of polynomials

AI Thread Summary
To simplify the expression (x+1)/(x-1) multiplied by (x+3)/(1-x^2) divided by (x+3)^2/(1-x), recognize that 1-x^2 can be factored as (1-x)(1+x). The expression can be rewritten as (x+1)(x+3)(1-x) over (x-1)(1-x)(1+x)(x+3)(x+3). After canceling common factors, the simplified result is 1/((x-1)(x+3)), with restrictions that x cannot equal 1, -1, or -3. The clarification on factoring and simplification helped participants understand the process better.
aisha
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Simplify (x+1)/(x-1) multiplied by (x+3)/(1-x^2) divided by (x+3)^2/(1-x)

Im not sure how to factor the 1-x^2 and what to do with 1-x

I don't know how to simplify this please help someone.

The answer to this question is 1/(x-1)(x+3)
x cannot = 1,-1, and -3
 
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Notice that 1-x^2 is a difference of squares.
 
shmoe said:
Notice that 1-x^2 is a difference of squares.

Put in the form:
\frac{(x+1)(x+3)(1-x)}{(x-1)(1-x)(1+x)(x+3)(x+3)}
Is it clearer now??
 
dextercioby said:
Put in the form:
\frac{(x+1)(x+3)(1-x)}{(x-1)(1-x)(1+x)(x+3)(x+3)}
Is it clearer now??

THANKS YES ITS CRYSTAL CLEAR :-p
 
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