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 7: Bài 1: (2đ) Rút gọn các biểu thức sau: a) (4x – 3)(x – 5) – 2x(2x – 11) b) (x + 1)(x2 – x + 1) – (x – 1)(x2 + x + 1) c) (2x + 3)(2x –

Toán Lớp 7: Bài 1: (2đ) Rút gọn các biểu thức sau:
a) (4x – 3)(x – 5) – 2x(2x – 11)
b) (x + 1)(x2 – x + 1) – (x – 1)(x2 + x + 1)
c) (2x + 3)(2x – 3) – (2x + 1)2
d) (x2 – 3x + xy – 3y) : (x + y)

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
     a, (4x – 3)(x – 5) – 2x(2x – 1)
       = 4x² – 20x – 3x + 15 – 4x² + 2x
       = -21x + 15
     b, (x + 1)(x² – x + 1) – (x – 1)(x² + x + 1)
       = x³ + 3x² + 3x +1 – x³ +3x² – 3x +1
       = 6x² +2
       = 2(x² + 1)
     c, (2x + 3)(2x – 3) – (2x + 1)²
        = (2x – 3)² – (2x + 1)²
        = (2x – 3 – 2x – 1)(2x – 3 + 2x + 1)
        =                (-4)(4x – 2)
        = -16x +8
        =  -8(2x – 1)
    d, (x² – 3x + xy – 3y) : (x + y)
    = [(x² – 3x) + (xy – 3y)] : (x + y)
    = [x.(x – 3) + y.(x – 3)] : (x + y)
    = (x + y).(x – 3) : (x + y)
    = x – 3.
                                 
                                                

  2. $\text{a,}$ (4x-3)(x-5)-2x(2x-1)
    =4x^{2}-20x-3x+15-4x^{2}+2x
    =-21x+15
    —————————————–
    $\text{b,}$ (x+1)(x^{2}-x+1)-(x-1)(x^{2}+x+1)
    =x^{3}+3x^{2}+3x+1-x^{3}+3x^{2}-3x+1
    =6x^{2}+2
    =2.(x^{2}+1)
    —————————————-
    $\text{c,}$ (2x+3)(2x-3)-(2x+1)^2
    =(2x-3)^{2}-(2x+1)^{2}
    =(2x-3-2x-1)(2x-3+2x+1)
    =(-4).(4x-2)
    =-16x+8
    -8(2x-1)
    ————————————-
    $\text{d,}$ (x^{2}-3x+xy-3y):(x+y)
    =[(x^{2}-3x)+(xy-3y)]:(x+y)
    =[x(x-3)+y(x-3)]:(x+y)
    =(x+y).(x-3):(x+y)
    =x-3

Leave a reply

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