Phân tích đa thức thành nhân tử : a ) 9xyz+18xy^2z^2 – 27y^2 z b ) 4x(x-2y)+8y(2y-x) c ) 4x^2(x-y ) – 10y( y-x) d ) x(x-1) + (1-x)^2 e ) 10-x^2-

Question

Phân tích đa thức thành nhân tử :
a ) 9xyz+18xy^2z^2 – 27y^2 z
b ) 4x(x-2y)+8y(2y-x)
c ) 4x^2(x-y ) – 10y( y-x)
d ) x(x-1) + (1-x)^2
e ) 10-x^2-25
g ) 25-(3-x)^2

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Calantha 5 years 2020-11-09T03:27:41+00:00 2 Answers 81 views 0

Answers ( )

  1. Adela
    0
    2020-11-09T03:28:56+00:00
    Reply

    a) `9xyz+18xy²z²-27y²z`

    `= 9yz(x+2xyz-3y)`

    b) `4x(x-2y)+8y(2y-x)`

    `= 4x(x-2y)-8y(x-2y)`

    `= (4x-8y)(x-2y)`

    c) `4x²(x-y)-10y(y-x)`

    `= 4x²(x-y)+10y(x-y)`

    `= (4x²+10y)(x-y)`

    d) `x(x-1)+(1-x)²`

    `= x(x-1)-(x-1)²`

    `= (x-x-1)(x-1)`

    `= -1(x-1)`

    e) `10x-x²-25`

    `= -(x²-2.x.5-5²)`

    `= -(x-5)²`

    g) `25-(3-x)²`

    `= 5²-(3-x)²`

    `= (5+3-x)(5-3+x)`

    `= (8-x)(2+x)`

     

  2. quangkhai
    0
    2020-11-09T03:28:59+00:00
    Reply

    a) `9xyz + 18xy^2 z^2 – 27y^2 z = 9yz ( x + 2yz – 3y)`

    b) `4x(x-2y) +8y(2y-x) = 4x(x-2y) – 8y(x-2y)`

    `= (x-2y)(4x-8y) = 4(x-2y)(x-2y) = 4(x-2y)^2`

    c) `4x^2 (x-y) – 10y (y-x) = 4x^2 (x-y)+ 10y (x-y) = (x-y)(4x^2+10y)`

    d) `x(x-1) + (1-x)^2 = x(x-1) + (x-1)^2 = (x-1)(x+x-1) = (x-1)(2x-1)`

    e) `10x – x^2 – 25 = -(x^2 – 2.x.5 + 5^2) = -(x-5)^2`

    g) `25-(3-x)^2 = 5^2 – (3-x)^2 = (5+3-x)(5-3+x) = (8-x)(2+x)`

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