\(M=1.\left(a+b\right)\left(a^2+b^2\right).......\)
\(=\left(a-b\right)\left(a+b\right)\left(a^2+b^2\right)....\)
\(=\left(a^2-b^2\right)\left(a^2+b^2\right)....\)
\(=\left(a^4-b^4\right)\left(a^4+b^4\right)......\)
\(=\left(a^8-b^8\right)\left(a^8+b^8\right)\left(a^{16}+b^{16}\right)\)
\(=\left(a^{16}-b^{16}\right)\left(a^{16}+b^{16}\right)\)
\(=a^{32}-b^{32}\)
Cho a - b = 1. Rut gon bieu thuc
M = ( a + b)( a^2 + b^2 )( a^4 + b^4 )( a^8 + b^8)( a^16 + b^16)
B1: rut gon bieu thuc
a, (x+y)^2-4(x-y)^2
b, 2(x-y)(x+y)+(x+y)^2+(x-y)^2
B2: tim X
a, (2X-1)^2-4(X+2)^2=9
b, 3(X-1)^2-3X(X-5)=21
B3: Cho bieu thuc
M=(x+3)^3-(x-1)^3+12x(x-1)
a, Rut gon bieu thuc tren
b, Tinh gia tri M tai x=-2/3
c, Tim x de M=16
Rut gon bieu thuc sau:
A=(3x+1)2-2(3x+1)(3x+5)+(3x+5)2
B=(3+1)(32+1)(34+1)(38+1)(316+1)(332+1)
C=(a+b-c)2+(a-b+c)2-2(b-c)2
D=(a+b+c)2+(a-b-c)2+(b-c-a)2+(c-b-a)2
E=(a+b+c)3-(b+c-a)3-(a-c+b)3-(a+b-c)3
Rut gon bieu thuc: (a-b+c)^2+2(a-b+c)(b-c)+(b-c)^2
Rut gon bieu thuc:
a) (a+b+1)3-(a+b-1)3-6(a+b)2
cho a,b,c khac nhau doi mot va 1/a+1/b+1/c=0.rut gon cac bieu thuc
N=bc/a^2+2bc+CA/B^2+2AC+AB/C^2+2AB
Rut gon bieu thuc
3(2^2+1)(2^4+1)(2^8+1)(2^16+1)
Rut gon bieu thuc sau
3(2*2+1)(2*4+1)(2*8+1)(2*16+1)
Cho a=b+1
Chứng minh: \(\left(a+b\right)\left(a^2+b^2\right)\left(a^4+b^4\right)\left(a^8+b^8\right)=a^{16}-b^{16}\)
