anonymous
  • anonymous
Simplify completely
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[\frac{ 5x ^{2}+9x-2 }{ x ^{2}+12x+20 } * \frac{ x ^{2}+17x+70 }{ 15x-3 }\]
anonymous
  • anonymous
can you factorize the respective numerators and denominators?
anonymous
  • anonymous
no, thats all i need help with & i can do the rest

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anonymous
  • anonymous
look for example at 5x^2+9x-2 look for 2 numbers whose product is -2*5=-10 and whose sum is 9
anonymous
  • anonymous
((x+2)(5x-1))/(x+10)(x+2)* ((x+7)(x+10)/3(5x-1) the way u apporach them is what numbers multiply to give lets say 70... well 7 and 10 . do they add to form the 17x yes cause 10 +7+17.
Compassionate
  • Compassionate
\[\frac{ (x+2)(5x+1) }{ (x+10)(x+2)} * \frac{ (x+10)(x+7) }{ 3(5x+1) }\] (5x+1) cancels (x + 10) cancels \[\frac{ x+2 }{ x+2 } * \frac{ x+7 }{ 3} = 1 * \frac{ x + 7 }{ 3 } = \frac{ x+7 }{ 3 }\] This, I cannot factor anymore.
anonymous
  • anonymous
thank you @AidanNims & @Compassionate
anonymous
  • anonymous
can you help me with one more @Compassionate ?
Compassionate
  • Compassionate
Yea.
anonymous
  • anonymous
great! .. hold on let me write it out
anonymous
  • anonymous
\[\frac{ x ^{2}+x-12 }{ x ^{2}-x-20 }\div \frac{ 3x ^{2}-24x+45 }{ 12x ^{2}-48x-60}\]
Compassionate
  • Compassionate
One sec, putting on music then I'll solve it. c:
anonymous
  • anonymous
okie dokie
Compassionate
  • Compassionate
Do you want me too factor it, or just give you the answer?
anonymous
  • anonymous
you can just give me the answer lol
Compassionate
  • Compassionate
Damn, this expression is walking all over me.
Compassionate
  • Compassionate
\[\frac{ (x+4)(x-3) }{ (x+4)(x-5) } - \frac{ 3(x-3)(x-5) }{ 4(3x^2-x-5) }\]
Compassionate
  • Compassionate
After this part I know what too do, I just can't figure out of to construct a common denominator.
anonymous
  • anonymous
okay thank you so much!

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