a, (4a² – 4a + 1) : (1 – 2x) b, (25x² – 4y²) : (5x – 2y) c, (27x³ + 8) : (3x + 2) d, x³ + 1 : x + 1 Dùng hằng đẳng thức để thực hiện phép chia

Question

a, (4a² – 4a + 1) : (1 – 2x)
b, (25x² – 4y²) : (5x – 2y)
c, (27x³ + 8) : (3x + 2)
d, x³ + 1 : x + 1
Dùng hằng đẳng thức để thực hiện phép chia

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Huy Gia 4 years 2020-10-15T09:04:09+00:00 1 Answers 77 views 0

Answers ( )

  1. dangkhoa
    0
    2020-10-15T09:05:26+00:00
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    a) $\dfrac{4a^2 – 4a + 1}{1 – 2a}$

    $= \dfrac{(1- 2a)^2}{1 – 2a}$

    $= 1 – 2a$

    b) $\dfrac{25x^2 – 4y^2}{5x – 2y}$

    $= \dfrac{(5x – 2y)(5x + 2y)}{5x – 2y}$

    $= 5x + 2y$

    c) $\dfrac{27x^3 + 8}{3x + 2}$

    $= \dfrac{(3x + 2)(9x^2 – 6x + 4)}{3x + 2}$

    $= 9x^2 – 6x + 4$

    d) $\dfrac{x^3 + 1}{x + 1}$

    $= \dfrac{(x+1)(x^2 -x + 1)}{x + 1}$

    $= x^2 – x + 1$

     

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