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

Toán Lớp 8: a) (x – 1) ³ b) ( x + 4) ³ c) (2x – 3y) ³ d) ( $\frac{1}{2}$x – 3) ³ e) (x – 3) ³

Toán Lớp 8: a) (x – 1) ³
b) ( x + 4) ³
c) (2x – 3y) ³
d) ( $\frac{1}{2}$x – 3) ³
e) (x – 3) ³

Comments ( 2 )

  1. Giải đáp:
    a) ( x- 1)³= x³ – 3 . x² . 1 + 3 . x . 1² – 1³
                   = x³ – 3x² + 3x – 1
    b) (x + 4)³ = x³ + 3 . x²  . 4 + 3 . x . 4² + 4³
                     = x³ + 12x² + 48x + 64
    c) ( 2x – 3y)³ = (2x)³ – 3 . (2x)² . 3y + 3 . 2x . (3y)² + (3y)³
                        = 8x – 36x²y + 54xy² + 27y³
    d) ($\frac{1}{2}$ x – 3)³ = ($\frac{1}{2}$ x)³ – 3 . ($\frac{1}{2}$x )² . 3 + 3 . $\frac{1}{2}$x  . 3² – 3³
                                        =  $\frac{1}{8}$x³ –  $\frac{9}{8}$ x² + $\frac{27}{2}$ x – 27
    e) (x – 3)³ = x³ – 3 . x² . 3 + 3 . x . 3² – 3³
                    = x³ – 9x²+ 27x – 27
                                                    cho mik xin 5* và ctlhn
    @chúc bn hok tốt

  2. Lời giải:
    a)
    (x-1)^3
    =x^(3)-3x^(2)+3x-1
    Áp dụng HĐT số 5 : (a-b)^3=a^(3)-3a^(2)b+3ab^(2)-b^3
    b)
    (x+4)^3
    =x^(3)+3.x^(2).4+3.x.4^(2)+4^3
    =x^(3)+12x^(2)+48x+64
    Áp dụng HĐT số 4 : (a+b)^3=a^(3)+3a^(2)b+3ab^(2)+b^3
    c)
    (2x-3y)^3
    =(2x)^(3)-3.(2x)^(2).3y+3.2x.(3y)^(2)-(3y)^3
    =8x^(3)-36x^(2)y+54xy^(2)-27y^3
    Áp dụng HĐT số 5 : (a-b)^3=a^(3)-3a^(2)b+3ab^(2)-b^3
    d)
    (1/2x-3)^3
    =(1/2x)^(3)-3.(1/2x)^(2).3+3.(1)/2x.3^(2)-3^3
    =1/8x^(3)-9/4x^(2)+27/2x-27
    Áp dụng HĐT số 5 : (a-b)^3=a^(3)-3a^(2)b+3ab^(2)-b^3
    e)
    (x-3)^3
    =x^(3)-3.x^(2).3+3.x.3^(2)-3^3
    =x^(3)-9x^(2)+27x-27
    Áp dụng HĐT số 5 : (a-b)^3=a^(3)-3a^(2)b+3ab^(2)-b^3

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