cho f(x) = ax^3 + bx^2 +cx, f(x) - F(x-1) = x^2. chung minh rang 1^2 + 2^2 + 3^2+...+n^2 = (n(n+1)(2n+1))/6
chung minh rang voi moi n thuoc N* thi 1^3+2^3+3^3+...+n^3= (1+2+3+...+n)^3
Cho A = 2^2n+1 +2^n+1 +1
B= 2^2n+1 -2^n+1 +1 voi n la so tu nhien
Chung minh rang: trong 2 so chi co 1 va chi 1 so chia het cho 5
cho a+b+c=1 va 1/a+1/b+1/c=0.Chung minh rang : a^2+b^2+c^2=0
chung minh rang 1/2 +1/3 +1/4+....+1/63<5
BAI 1: TIM X BIET so tu nhien x/7 du 6. chung minh rang x.x/7 du 1
bai 2: cho 2.(a.a+b.b)=(a+b).(a+b) chung minh rang a=b
Cho a,b>0 VA a+b=1 chung minh rang (a+1/a)^2+(b+1/b)^2>/25/2
cho x y là 2 số thực thỏa mãn xy >=1, chung minh rang 1/1+X2+1/1+Y2>=2/1+XY
cho x,y,z duong va x+y+z=1. chung minh rang 1/x^2+2yz+1/y^2+2xz+1/z^2+2xy>=9
thank, giup minh mik cho 3 tick