Register Now

Login

Lost Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: c/m: x^4 + y^4 + (x + y)^4 = 2(x^2 + xy + y^2)^2

Home/ Toán Lớp 8: c/m: x^4 + y^4 + (x + y)^4 = 2(x^2 + xy + y^2)^2

Toán Lớp 8: c/m: x^4 + y^4 + (x + y)^4 = 2(x^2 + xy + y^2)^2

Tháng Bảy 6, 2022 Toán học 1 Comment 0 views

Toán Lớp 8: c/m:
x^4 + y^4 + (x + y)^4 = 2(x^2 + xy + y^2)^2

Comments ( 1 )

  1. dinhcongson
    dinhcongson
    6 Tháng Bảy, 2022 at 2:56 sáng
    Reply
    (x+y)^4 + x^4 + y^4 = 2(x^2+xy+y^2)^2
    VT = (x+y)^4 + x^4 + y^4
         = x^4 + 4x^3y + 6x^2y^2 + 4xy^3 + y^4 + x^4 + y^4 
         = 2x^4 + 2y^4 + 6x^2y^2 + 4x^3y + 4xy^3
    VP = 2(x^2+xy+y^2)^2
          = 2.(x^4+2x^3y+3x^2y^2+2xy^3+y^4)
          = 2x^4 + 4x^3y + 6x^2y^2 + 4xy^3 + 2y^4 = VT
    => đpcm

Leave a reply

222-9+11+12:2*14+14 = ? ( )

Nhi

About Nhi