anonymous
  • anonymous
4a^3/5x^2+2n/x^4 simplify
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
i cant solve that it's an expression
anonymous
  • anonymous
i just want to simplify this
anonymous
  • anonymous
|dw:1356630447159:dw|

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anonymous
  • anonymous
i cannot understand this could u please write it clearly
anonymous
  • anonymous
(4a^3x^4+10x^2n)/5x^6
anonymous
  • anonymous
and after that?
cwrw238
  • cwrw238
you can simplify the top of the fraction by factorization 4a^3x^4+10x^2n - you need to find the gcf of the above 2 terms can you do that?
anonymous
  • anonymous
no could u pls tell how to find it
cwrw238
  • cwrw238
the gcf is the greatest common factor piecewise we can can write factor of 4 and 10 = 2 because 2 is the greatest number which divides exactly into 4 and 10 do you follow that?
anonymous
  • anonymous
and x^2 also but how will it go further
cwrw238
  • cwrw238
right thats as far as we can go so if we divide the gcf 2x^2 into the top bit we get 4a^3x^4 / 2x^2 = 2a^3x^2 and 10x^2n / 2x^2 = 5n so 4a^3x^4+10x^2n = 2x^2(2a^3x^2 + 5n)
cwrw238
  • cwrw238
finally putting it all together we have 2x^2(2a^3x^2 + 5n) ----------------- 5x^6 dividing top and bottom by x^2: = 2(2a^3x^2 + 5n) -------------- 5x^4
anonymous
  • anonymous
and thats all??
cwrw238
  • cwrw238
yea
cwrw238
  • cwrw238
the last step was necessary because ayushprasad didn't use the lcm as the denominator the lcm (lowest common denominator) of 5x^2 and x^4 is actually 5x^4 not 5x^6

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