Libro digital interactivo

Ejercicios sección 3.4

En los ejercicios 1 al 50, realiza las factorizaciones indicadas por el método adecuado.

$\hspace{0.1cm}34ax^2+51a^2y-68ay^2\\[0.2cm]$
$\hspace{0.1cm}93a^3x^2y-62a^2x^3y^2-124a^2x\\[0.2cm]$
$\hspace{0.1cm}x^2-a^2+x-a^2x\\[0.2cm]$
$\hspace{0.1cm}3abx^2-2y^2-2x^2+3aby^2\\[0.2cm]$
$\hspace{0.1cm}2x^2y+2xz^2+y^2z^2+xy^3\\[0.2cm]$
$\hspace{0.1cm}\left(x+y\right)^2-a^2\\[0.2cm]$
$\hspace{0.1cm}1-\left(x-2y\right)^2\\[0.2cm]$
$\hspace{0.1cm}\left(2a-c\right)^2-\left(a+c\right)^2\\[0.2cm]$
$\hspace{0.1cm}\left(2x-3\right)^2-\left(x-5\right)^2\\[0.2cm]$
$\hspace{0.1cm}\left(x+2a\right)^2-4x^2\\[0.2cm]$
$\hspace{0.1cm}\left(4x\right)^2-2\left(4x\right)-15\\[0.2cm]$
$\hspace{0.1cm}\left(m-n\right)^2+5\left(m-n\right)-24\\[0.2cm]$
$\hspace{0.1cm}25x^2-25x-84\\[0.2cm]$
$\hspace{0.1cm}\left(c+d\right)-18\left(c+d\right)+65\\[0.2cm]$
$\hspace{0.1cm}\left(4x^2\right)^2-8\left(4x^2\right)-105\\[0.2cm]$
$\hspace{0.1cm}10x^8+29x^4+10\\[0.2cm]$
$\hspace{0.1cm}20x^2y^2+9xy-20\\[0.2cm]$
$\hspace{0.1cm}-3a^2+13a+30\\[0.2cm]$

$\hspace{0.1cm}\left(x^5+4y\right)\left(x^{10}-4x^5y+16y^2\right)\\[0.2cm]$
$\hspace{0.1cm}\left(x-4\right)\left(x^2+4x+16\right)\\[0.2cm]$
$\hspace{0.1cm}\left(5x-2\right)\left(25x^2+10x+4\right)\\[0.2cm]$
$\hspace{0.1cm}\left(2x-\frac{1}{3}\right)\left(4x^2+\frac{2}{3}x+\frac{1}{9}\right)\\[0.2cm]$
$\hspace{0.1cm}\left(m^2-6\right)\left(m^4+6m^2+36\right)\\[0.2cm]$
$\hspace{0.1cm}\left(3a-b\right)\left(9a^2+3ab+b^2\right)\\[0.2cm]$
$\hspace{0.1cm}x^2-2xy+y^2-m^2\\[0.2cm]$
$\hspace{0.1cm}a^2-b^2-2a+1\\[0.2cm]$
$\hspace{0.1cm}4x^2+25y^2-36+20xy\\[0.2cm]$
$\hspace{0.1cm}9x^2-1+16a^2-24ax\\[0.2cm]$
$\hspace{0.1cm}m^2-x^2-2xy-y^2\\[0.2cm]$
$\hspace{0.1cm}25-x^2-16y^2+8xy\\[0.2cm]$
$\hspace{0.1cm}-a^2+25m^2-1-2a\\[0.2cm]$
$\hspace{0.1cm}49x^4-25x^2-9y^2+30xy\\[0.2cm]$
$\hspace{0.1cm}a^2-2ab+b^2-c^2-2cd-d^2\\[0.2cm]$
$\hspace{0.1cm}9x^2+4y^2-a^2-12xy-25b^2-10ab\\[0.2cm]$

$\hspace{0.1cm}4x^2+7mnx-15m^2n^2\\[0.2cm]$
$\hspace{0.1cm}30x^{10}-91x^5-30\\[0.2cm]$
$\hspace{0.1cm}9b^2-30a^2b+25a^4\\[0.2cm]$
$\hspace{0.1cm}\frac{a^2}{4}-ab+b^2\\[0.2cm]$
$\hspace{0.1cm}1+\frac{2b}{3}+\frac{b^2}{9}\\[0.2cm]$
$\hspace{0.1cm}\frac{1}{25}-\frac{x^2}{3}+\frac{25x^4}{36}\\[0.2cm]$
$\hspace{0.1cm}\frac{n^2}{9}+2mn+9m^2\\[0.2cm]$
$\hspace{0.1cm}m^4+m^2n^2+n^4\\[0.2cm]$
$\hspace{0.1cm}a^4-3a^2b^2+b^4\\[0.2cm]$
$\hspace{0.1cm}81m^8+2m^4+1\\[0.2cm]$
$\hspace{0.1cm}25x^4-139x^2y^2+81y^4\\[0.2cm]$
$\hspace{0.1cm}121x^4-133x^2y^4+36y^8\\[0.2cm]$
$\hspace{0.1cm}\left(x+2\right)\left(x^2-2x+4\right)\\[0.2cm]$
$\hspace{0.1cm}\left(x^2+3\right)\left(x^4-3x^2+9\right)\\[0.2cm]$
$\hspace{0.1cm}\left(x+1\right)\left(x^2-x+1\right)\\[0.2cm]$
$\hspace{0.1cm}\left(3x+2\right)\left(9x^2-6x+4\right)\\[0.2cm]$