9x ²+42x+49 25x ²-2xy+1/25y ² 27+(x-3)(x ²+3x+9) x ³+3x ²+3x+1

9x ²+42x+49
25x ²-2xy+1/25y ²
27+(x-3)(x ²+3x+9)
x ³+3x ²+3x+1

0 bình luận về “9x ²+42x+49 25x ²-2xy+1/25y ² 27+(x-3)(x ²+3x+9) x ³+3x ²+3x+1”

  1. Đáp án:

     $9x^2 +42x +49$

    $ = (3x)^2 + 2 . 3 . 7 + 7^2 $

    $ = (3x +7)^2$

    $25x^2 -2xy +\dfrac{1}{25}y^2$

    $ = (5x)^2 – 2 . 5x . \dfrac{1}{5}y +\dfrac{1}{25}y^2$

    $ = (5x – \dfrac{1}{5}y)^2$

    $27 + (x-3)(x^2+3x+9)$

    $ = 27+x³-27$

    $ =x³$

    $x^3 +3x^2 +3x +1$

    $ = x^3 +3.x^2.1 + 3.x.1^2 + 1^3$

    $ = (x+1)³$

     

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  2. `9x^2+ 42x+49`

    `(3x)^2+2.3x.7+7^2`

    `=(3x+7)^2`

    `25x^2- 2xy+1/25 y^2`

    `(5x)^2-2.5x. 1/5 y+ (1/5 y)^2`

    `=(5x- 1/5 y)^2`

    `27+(x-3)(x^2+3x+9)`

    `27+(x-3)(x^2+ 3x+ 3^2)`

    `=27+x^3- 27`

    `=x^3`

    `x^3+ 3x^2+ 3x+1`

    `x^3+ 3x^2 .1+3x.1^2+ 1^3`

    `=(x+1)^3`

    chúc học tốt

     

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