## jadi 2 years ago 4a^3/5x^2+2n/x^4 simplify

1. jefftheloveableguy

i cant solve that it's an expression

i just want to simplify this

|dw:1356630447159:dw|

i cannot understand this could u please write it clearly

(4a^3x^4+10x^2n)/5x^6

and after that?

7. 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?

no could u pls tell how to find it

9. 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?

and x^2 also but how will it go further

11. 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)

12. 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

and thats all??

14. cwrw238

yea

15. 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