Đa thức => Nhân Tử. NHANH Ạ. gấpppp

Đáp án + Giải thích các bước giải:

 m) $4xy - x^2 - 4y^2 + 25$

$= -x^2 + 4xy - 4y^2 + 25$

$= -(x^2 - 4xy + 4y^2 - 25)$

$= -[(x - 2y)^2 - 5^2]$

$= -(x - 2y+ 5)(x - 2y - 5)$
n) $3x^2 + 6x + 3 -3y^2$

$= 3(x^2 + 2x + 1 - y^2)$

$= 3[(x + 1)^2 - y^2]$

$= 3(x + 1 + y)(x + 1 - y)$
o) $x^3 - 4x^2 + 4x$

$= x(x^2 - 4x + 4)$

$= x(x - 2)^2$
h) $x^3 + 2x^2y + xy^2 - 9x$

$= x(x^2 + 2xy + y^2 - 9)$
$= x[(x + y)^2 - 3^2]$

$=x(x + y + 3)(x + y - 3)$
l) $(2x - 1)^2 - (x + 3)^2$
$= (2x - 1 + x + 3)(2x - 1 - x - 3)$

$+ (3x + 2)(x - 4)$

t) $x^2(x - 3) - 4x + 12 = 0$

$\Leftrightarrow x^2(x - 3) - 4(x - 3) = 0$

$\Leftrightarrow (x^2 - 4)(x - 3)$

$\Leftrightarrow (x + 2)(x - 2)(x - 3) = 0$

$\Leftrightarrow$ \(\left[ \begin{array}{l}x+2=0\\x-2=0\\x-3=0\end{array} \right.\) 

$\Leftrightarrow$ \(\left[ \begin{array}{l}x=-2\\x=2\\x=3\end{array} \right.\)

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