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

Toán Lớp 8: Bài3: Rút gọn các biểu thức sau a) (x-1)^3-x(x-3)^2+1 b)(7x+4)^2-(7x+4).(7x-4) c) (x+2)^3-x^2(x+6) d)2(2x+5)^2-3(4x+1).(1-4x) e) (x-1)^

Toán Lớp 8: Bài3: Rút gọn các biểu thức sau
a) (x-1)^3-x(x-3)^2+1
b)(7x+4)^2-(7x+4).(7x-4)
c) (x+2)^3-x^2(x+6)
d)2(2x+5)^2-3(4x+1).(1-4x)
e) (x-1)^2-2(x-1).(x-3)+(x-3)^2
Bài 4: Cho D=5(x+3).(x-3)+(2x+3)^2+(x-6)^2
Rút gọn rồi tính giá trị D tại x=-1/5

Comments ( 2 )

  1. Bài $3$: Rút gọn các biểu thức sau
    $a$) $(x-1)^3 – x(x-3)^2 + 1$
    $= x^3 – 3x^2 + 3x -1 – x(x^2 – 6x + 9) + 1$
    $= x^3 – 3x^2 + 3x -1 – x^3 + 6x^2 – 9x + 1$
    $= x^3 – 3x^2 + 3x – 1 – x^3 + 6x^2 – 9x + 1$
    $= 3x^2 – 6x$
    $= 3x(x-2)$.
    $b$) $(7x+4)^2-(7x+4).(7x-4)$
    $= (7x+4)[(7x+4) – (7x-4)]$
    $= (7x+4)(7x+4-7x+4)$
    $= (7x+4)8$
    $= 56x + 32$.
    $c$) $(x+2)^3 – x^2(x+6)$
    $= x^3 + 6x^2 + 12x + 8 – (x^3 + 6x^2)$
    $= x^3 + 6x^2 + 12x + 8 – x^3 – 6x^2$
    $= 12x + 8$.
    $d$) $2(2x+5)^2-3(4x+1)(1-4x)$
    $= 2(4x^2 + 20x + 25) – (12x + 3)(1-4x)$
    $= 8x^2 + 40x + 50 + 48x^2 – 3$
    $= 56x^2 + 40x +47$.
    $e$) $(x-1)^2-2(x-1).(x-3)+(x-3)^2$
    $= (x-1)^2 – (x-1)(x-3) – (x-1)(x-3) + (x-3)^2$
    $= (x-1)[(x-1)-(x-3)] – (x-3)[(x-1) – (x-3)]$
    $= (x-1).2 – (x-3).2$
    $= 2[(x-1)-(x-3)]$
    $= 4$.
    Bài $4$. 
    Ta có: $D=5(x+3).(x-3)+(2x+3)^2+(x-6)^2$
    $= 5(x^2 – 9) + (4x^2 + 12x + 9) + (x^2 – 12x + 36)$
    $= 5x^2 – 45 + 4x^2 + 12x + 9 + x^2 – 12x + 36$
    $= 10x^2$
    Tại x=-1/5 thì D = 10. (-1/5)^2 = 10 . 1/{25} = 2/5.
     

  2. Xin gửi chủ tus ạ
    Cho mk xin ctlhn nha bạn
    toan-lop-8-bai3-rut-gon-cac-bieu-thuc-sau-a-1-3-3-2-1-b-7-4-2-7-4-7-4-c-2-3-2-6-d-2-2-5-2-3-4-1

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

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