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homework question that asks to perform the multiplication and division and simplification.

$$\frac{x^2+7x+10}{x^2+5x+4} \times \frac{x^2+3x+2}{x^2+4x+4} =$$

$$\frac{(x+5)(x+2)}{(x+4)(x+1)} \times \frac{(x+1)(x+2)}{(x+2)(x+2)} =$$

$$ = \frac{(x+5)}{(x+4)}$$

is my working out and answer correct?

I am typing this extra sentence in order to meet your quality standards!!!

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2  
Correct answer. ! Don't worry. everything at the right place. –  Manoj Pandey Mar 27 '13 at 8:41
3  
Just to impress your teacher, you can also add condition after your answer saying : x not equal to ${-1,-2,-4}$ –  lsp Mar 27 '13 at 8:45
    
what do you mean? –  Xiao C. Sun Mar 27 '13 at 8:49
    
When you cancel something out, it is better to mention the condition that the term you are cancelling is not equal to zero. –  lsp Mar 27 '13 at 8:50
    
lol, if I do that, she will become instantly suspicious. –  Xiao C. Sun Mar 27 '13 at 9:11

1 Answer 1

Yes, it is correct. The x+2's and x+1 terms do cancel. If there was no multiplication, the second part would be (x+1)/(x+2), and the left side would be as is. However, you're OK.

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