multiplying rational expressions with simplifying

label Algebra
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(3x-3)/(x^2+4x+3)*(x^2+x-6)/(x-1)

Jun 21st, 2015

Thank you for the opportunity to help you with your question!

3(x-1)/(x^2 +3x +x+3)*(x^2+x-6)/(x-1)

3(x-1)/(x(x+3)+(x+3))*(x^2+x-6)/(x-1)

3(x-1)/(x+1)(x+3)*(x^2+x-6)/(x-1)

3/(x+3)*(x^2+x-6)/(x-1)

3/(x+3)*(x^2+3x-2x-6)/(x-1)

3/(x+3)*(x(x+3)-2(x+3))/(x-1)

3/(x+3)*(x-2)(x+3)/(x-1)

3(x-1)/(x+3)*(x-2)(x+3)

3(x-1)/(x+3)(x-2)(x+3)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 21st, 2015

checking if i can simply it furthur. 


Jun 21st, 2015

we shall move step by step


Jun 21st, 2015

ok i understand why you have squared the 2

Jun 21st, 2015

3(x-1)/(x^2 +3x +x+3)*(x^2+x-6)/(x-1)

we factor out 3 because it is common

Jun 21st, 2015

so it should be 3x-1 maybe

Jun 21st, 2015

no

Jun 21st, 2015

(3x-3) we factor out 3 we get 3(x-1)

Jun 21st, 2015

ok thank you for your help i think i will manage from this point, thanks!

Jun 21st, 2015

if you are not sure please let me know


Jun 21st, 2015

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