Phân tích đa thức thành nhân tử-Tách,Thêm Bớt a,8x^2+10x-3 b,8x^2-2x-1 c,x^3-9x^2+14x d,6x^2+7xy+2y^2

Question

Phân tích đa thức thành nhân tử-Tách,Thêm Bớt
a,8x^2+10x-3
b,8x^2-2x-1
c,x^3-9x^2+14x
d,6x^2+7xy+2y^2

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Maris 5 years 2020-11-23T06:42:14+00:00 2 Answers 103 views 0

Answers ( )

  1. Neala
    0
    2020-11-23T06:43:27+00:00
    Reply

    Đáp án:

    $a, 8x²+ 10x – 3$

    $= 8x² – 2x + 12x – 3$

    $= 2x(4x – 1) + 3(4x – 1)$

    $= (4x – 1)(2x + 3)$

    $b, 8x² – 2x – 1$

    $= 8x² – 4x + 2x – 1$

    $= 4x(2x – 1)  + (2x-1)$

    $= (4x + 1)(2x – 1)$

    $c, x³- 9x² + 14x$

    $= x³ – 2x² – 7x² + 14x$

    $= x²(x – 2) – 7x(x – 2)$

    $= (x² – 7x)(x – 2)$

    $= x(x – 7)(x – 2)$

    $d, 6x²+ 7xy + 2y²$

    $= 6x² + 3xy + 4xy + 2y²$

    $= 3x(2x + y) + 2y (2x + y)$

    $= (3x + 2y)(2x + y)$

  2. Sigrid
    0
    2020-11-23T06:43:55+00:00
    Reply

    a, 8x²+10x-3

    = 8x²+6x+4x-3

    = 2x(4x+3)+1(4x+3)

    = (2x+1)(4x+3)

    b, 8x²-2x-1

    = 8x²-4x+2x-1

    = 4x(2x-1)+1(2x-1)

    = (4x+1)(2x-1)

    c, x³-9x²+14x

    = x³-2x²-7x²+14x

    = x²(x-2)-7x(x-2)

    = (x²-7x)(x-2)

    d, 6x²+7xy+2y²

    = 6x²+3xy+4xy+2y²

    = 3x(2x+y)+2y(2x+y)

    = (3x+2y)(2x+y)

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