Simplify:  5a/6bc² + 3b/8a²c?
916520
5a             3b\n------ +   ---------=   \n6b^2        8a^2c\n\n\n5a*8a^2c + 6bc^2*b  \n--------------------------=     (you add the rational numbers)\n8a^2c*6bc^2             \n\n\n\n40a^3c + 18b^2c^2\n------------------------=       (you multiply the expressions)\n48a^2bc^3\n\n\n\n2c(20a^3+9b^2c)\n---------------------=         (you factorize using the LCD=2)\n48a^2bc^3\n\n\n\nthe simplest form:\n\n20a^3+9b^2c\n-----------------\n24a^2bc^2
758773
6O2 + C6H12O6 ---> 6CO2 + 6H2O
954811
C3H8 + 5O2 --> 3CO2 + 4H2O
337108
6b + 24a + 45\n= 3*2*b + 3*8*a + 3*15\n= 3(2b + 8a + 15)
825318
(a^2 -2ab + b^2) = (a-b)(a-b) = (a-b)^2\nYou cannot cancel anything, so \n(a^2 -2ab + b^2)/(a+b) does not simplify.\n\nYou may wish to write it as (a-b)^2 /(a+b)
531417
(a+b)(b^6-ab^5+a^2b^4-a^3b^3+a^4b^2-a^5b+a^6)\nGood Night, and Good Luck!
1174116
8x^2 -5 -3x^2 + 7\n8x^2 - 3x^2 -5 + 7\n5x^2 + 2
960212
You may find Least Common Multiple and change it to:\n(5b+3a)/ab\n\nHowever, this is obviously not simplifying it.  In fact, 5/a + 3/b is as simplified as it gets.\n\nThe only reason to complicate it with the LCM is if there is more to the problem such as an "ab" term or (5b+3a) term on the other side of the equation.
836231
8r@+2rs@+7r@s [ I think you have typed = in place of + by mistake]   .When you want to simplify an algebric expression ,you should put together all terms having the same algebric variables for example if you want to simplify 2a-3b+6a+5b,you should first write this as 2a+6a-3b+5b and now add2a and 6a giving you 8a and -3b and +5b giving you +2b,The answer would be 8a +2b.please remember only similar algebric varibles can be added or subtracted .So when you add 12x with 5y ,as you cannot add them conventionally,your answer would be 12x+5y.Another method is that the algebric variable are not totally similar but part of them are simila.In that case it is best to take the part similar variable as common from each term while simplifyiung.in the problem you have given though none of the variables ar similar each of them contains "r" so we shall simplify it in this way  r(8r+2s@+7rs) and that is the answer.If i have failed to make you understand anything,you may send an e-mail to me at sarkartpas2005@yahoo.com and I shall be too happy to explain the process again
736868
2(2.5b -9) +6b =7 disribute 2\n5b-18+6b=7 add 18\n11b=25    divide 11\nb=25/11=2 3/11=2.727\n\n12y = 2y +40   subtract 2y\n10y=40     divide by 10\ny=4\n\n6(c +4) = 4c -18   distribute 6\n6c+24+4c-18   subtract 4c+24\n2c=-42  divide by 2\nc=-21
883411
lets just simplyfy al of them :)\nThe expression is : -3m -2 + 5m -8 =  2m-10\n\nThe expression is : 4(3a - 5) + 2(-3a + 7) = 12a-20 -6a +14\n                                                                       =6a-6\nThe expression is : 2/3(1/2x + 9) + 3 = x/3 + 6 +3 = x/3 +9\n\nThe expression is : x/4 - 1/8 - x/6 + 1/6 = x/12 + 1/24\n\nThe expression is : 2ab + a - ab - 7 = ab + a -7.\n\nso i would say,, The expression is : 2ab + a - ab - 7 is closest to being in its simplest form than the rest
62092
if you mean 3(2ab-x) ... then 6ab-3x
1099108
I think its 8a^4b^3+6a^3b^5-2a^3b^4
1150392
No problem, i just finished a calc3 course in college.\n\nYour problem is the same as 125 * (6x^2 + 5x + 7)^(-1/3)\nYou have to use the chain rule so you get\n125 * (-1/3) * (12x + 5) * (6x^2 +5x + 7)^(-4/3)\n\nthen you can simplify how you like from there
1121270
This one can't be simplified further uness you just write\nsqrt{5+3sqrt{3}}.\n\nOn the other hand, sqrt{7+4sqrt{3}} can be rewritten as 2+sqrt{3}. Making such simplifications is not easy in general.
900021
(-400/3a)*(15a^3/5b)\n=-400a^2/b
118410
...=(logA+logA)-(logB-logB-logB)+1/5logC=(logA^2-logB^3)+1/5logC\n= log(A^3/B^3)+1/5logC =log(A^3/B^3)+logC^1/5=log[(A^3*C^1/5)/B^3]\nNow if you know to transform C^1/5 (i don't really remember now)it becomes even simpler.