Questions asked by Mouhamed Ayoub E.

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• A=2015(1+2+3+.....2014) B=2014(1+2+3+.....2015) Compare A and B ?
  
• You have 3 taps : the first one make 6 hours to fill the swimming pool the second tap takes 12 hours the last tap takes 4 hours If we open the 3 taps at the same time what time it will take to fill the swimming pool ?
  
• How do you factorise 21xy-3x-28y+4 ?
  
• How do you solve this eqution ? 3-\sqrt {3n^{2}+n-3}=n+1
  
• #3-sqrt(3n²+n-3)=n+1# how do you solve this equation ?
  
• A=1+3+5+7................. 1999 ?
  
• How to prove that ? #cos x = 1-tan^2(x/2)⁄1+tan^2(x/2)#
  
• Can you prove ? (a+b)(b+c)(c+d)>8 a>0 ; b>0 ; c>0
  
• If #a+b=1# and #a>0# and# b>0# can you prove this ? #[1+(1/(aⁿ))][1+(1/(bⁿ))] ≥ ( 1+2³)²#
  
• Can you find the smallest #n# ? as #3^n-2^n# can be divided by #2015#
  
• K is a real number that satisfies the following property : "for every 3 positiv numbers ,a,b,c ; if a+b+c≤K then abc≤K " Can you find the biggest value of K ?
  
• Can you find all the nonzero natural integers x and y that satisfie the following relation ? (x+y)^3=(x-y-6)^2