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: b. (x^2- 8)^2 + 36 c. 81x^4 + 4 d. x^5 + x + 1 giải giúp mình luôn nhé

Toán Lớp 8: b. (x^2- 8)^2 + 36
c. 81x^4 + 4
d. x^5 + x + 1
giải giúp mình luôn nhé

Comments ( 2 )

  1. b)
    (x^2 – 8)^2 + 36
    =x^4 – 16x^2 + 64 + 36
    =x^4 – 16x^2 + 100
    =x^4 – 36x^2 + 20x^2 + 100
    =( x^4 + 20x^2 + 100 ) – 36x^2
    =( x^2 + 10)^2 – ( 6x)^2
    =( x^2 + 10 – 6x )( x^2 + 10 + 6x )
    c)
    81x^4 + 4
    =( 81x^4 + 36x^2 + 4 ) – 36x^2
    =( 9x^2 + 2)^2 – (6x)^2
    =( 9x^2 + 2 – 6x)(9x^2 + 2 + 6x)
    d)
    x^5 + x + 1
    =x^5 – x^2 + x^2 + x + 1
    =x^2 ( x^3 – 1 ) + (x^2 + x + 1 )
    =x^2 ( x – 1 )( x^2 + x + 1 ) + ( x^2 + x + 1 )
    =( x^2 + x + 1 ) [ x^2 ( x – 1 ) + 1 ]
    =( x^2 + x + 1 )( x^3 – x^2 + 1 )

  2. Giải đáp:
    b. (x^2- 8)^2 + 36
    = x^4 – 16x^2 + 64 + 36
    = x^4 – 16x^2 + 100
    = x^4 – 36x^2 + 20x^2 + 100
    = (x^4 + 20x^2 + 100) – 36x^2
    = (x^2 + 10)^2 – (6x)^2
    = (x^2 + 10 – 6x)(x^2 + 10+6x)
    c, 81x^4 + 4
    = 81x^4 + 54x^3 – 54x^3 + 18x^2 – 18x^2 + 12x – 12x + 12x + 4
    = (81x^4 + 54x^3 + 18x^2 )- (54x^3 + 36x^2 + 12x) + (18x^2 + 12x + 4)
    = 9x^2 ( 9x^2 + 6x^3 + 2) – 6x(9x^2 + 6x^3 + 2) + 2(9x^2 + 6x + 2)
    = (9x^2 – 6x + 2)( 9x^2 + 6x + 2)
    d, x^5 + x + 1
    = x^5 -x^2 + x^2 + x + 1
    =x^2 ( x^3 – 1) + (x^2 + x+1)
    = x^2 ( x-1)(x^2 + x +1) + (x^2 + x+1)
    =( x^3 – x^2 )( x^2 + x +1) + (x^2 + x +1)
    =(x^2 + x + 1)(x^3 – x^2 + 1)

Leave a reply

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