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Factorizar las siguientes expresión algebraicas

1. ${\displaystyle 9xy^{2}+6y^{4}-12y^{3}z}$
2. ${\displaystyle 9a^{2}-12ab+15a^{3}b^{3}-24ab^{3}}$
3. ${\displaystyle {\frac {2}{3}}x^{2}y^{4}-{\frac {4}{12}}x^{3}y^{5}+{\frac {14}{18}}x^{3}y^{2}}$
4. ${\displaystyle a^{20}-a^{19}+4a^{12}-a^{8}+3a^{5}+2a^{3}}$

Factorizar las siguientes expresiones algebraicas

1. ${\displaystyle a^{2}+ab+ax+bx}$
2. ${\displaystyle 3abx^{2}-2y^{2}-2x^{2}+3aby^{2}}$
3. ${\displaystyle 6ax+3a+1+2x}$
4. ${\displaystyle 4a^{3}x-4a^{2}b+3bm-3amx}$

Factorizar las siguientes expresiones algebraicas

1. ${\displaystyle a^{2}-10ab+25b^{2}}$
2. ${\displaystyle 1-16ax^{2}+64a^{2}x^{4}}$
3. ${\displaystyle a^{4}-a^{2}b^{2}+{\frac {b^{4}}{4}}}$
4. ${\displaystyle {\frac {n^{2}}{9}}+2mn+9m^{2}}$

Factorizar las siguientes expresiones algebraicas

1. ${\displaystyle 25-36x^{2}}$
2. ${\displaystyle a^{2}b^{8}-c^{2}}$
3. ${\displaystyle 25x^{2}y^{4}-121}$
4. ${\displaystyle {\frac {x^{2}}{100}}-{\frac {y^{2}z^{4}}{81}}}$

Factorizar las siguientes expresiones algebraicas

1. ${\displaystyle x^{2}+7x+10}$
2. ${\displaystyle x^{2}-5x-36}$
3. ${\displaystyle x^{2}-15x+54}$
4. ${\displaystyle x^{2}-4x-320}$

Factorizar las siguientes expresiones algebraicas

1. ${\displaystyle 27x^{3}-125y^{3}z^{9}}$
2. ${\displaystyle x^{6}-y^{6}}$
3. ${\displaystyle {\frac {1}{8}}+{\frac {z^{3}}{27}}}$
4. ${\displaystyle {\frac {x^{12}}{y^{9}}}+{\frac {y^{3}}{x^{6}}}}$