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burhan101
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\[(x+1)^{2}/x^2+2x3 \times x^22x+1/x^2+4x+3\]

burhan101
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dw:1341370090447:dw

Calcmathlete
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\(\huge\text{Is the problem: }\frac{(x + 1)^{2}}{x^{2} + 2x  3} \times \frac{x^{2}  2x + 1}{x^{2} + 2x + 3}?\)

burhan101
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yes, i didnt know how to type it in the equation like that

Calcmathlete
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You have to use the equation editor with a few extra steps.
I assume you know how to factor the three trinomials?

Calcmathlete
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Do you????

burhan101
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im not sure

burhan101
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here's what ive done so far

burhan101
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can you please tell me if it's somewhat right

Calcmathlete
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Sure.

burhan101
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dw:1341370527396:dw

burhan101
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oh that's wrong, i factor right ?

Calcmathlete
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Um...before you do that, factor the three individual trinomials. Try factoring: \(x^{2} + 2x  3\).

burhan101
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\[(x2)(x+1)\]

burhan101
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is that right?

Calcmathlete
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Not quite. What are factors of 3 that add to 2?

burhan101
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2,1

Calcmathlete
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No. 2 x 1 = 2. Not 3. You did it the opposite way. They should add to 2 and multiply to 3.

burhan101
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OHH ! okay

burhan101
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1,3

Calcmathlete
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YAY! \(x^{2} + 2x  3 = (x  1)(x + 3)\)
Now, let's factor \(x^{2}  2x + 1\)

burhan101
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1,1

burhan101
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(x1)(x1)

Calcmathlete
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Yup. Now finally, let's factor x^{2} + 4x + 3

burhan101
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(x+3)(x+1)

burhan101
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dw:1341371332480:dw

burhan101
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dw:1341371477936:dw

Calcmathlete
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You're getting really good!
\(\large\frac{(x + 1)(x + 1)}{(x + 3)(x  1)} \times \frac{(x  1)(x  1)}{(x + 3)(x + 1)} = \frac{\cancel{(x + 1)}(x + 1)}{(x + 3)\cancel{(x  1)}} \times \frac{\cancel{(x  1)}(x  1)}{(x + 3)\cancel{(x + 1)}} = \frac{(x + 1)(x  1)}{(x + 3)(x + 3)}\)Yup :) You got it!

burhan101
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Thankyou so much ! :)

burhan101
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so this is the farthest it ca be simplified right