Ejercicios sección 3.1

En los ejercicios 1 al 15 realiza las operaciones indicadas.

1. $\hspace{0.1cm}\left(7x+2y-4\right)+\left(3x-y-6\right)\\[0.3cm]$
2. $\hspace{0.1cm}\left(-8a^x+5a^m-9a^n\right)+\left(-11a^x+5a^m+16a^n\right)\\[0.3cm]$
3. $\hspace{0.1cm}\left(\cfrac{1}{2}x^2+\cfrac{1}{3}xy\right)+\left(\cfrac{1}{2}x^3-\cfrac{1}{2}xy+\cfrac{1}{4}y^2\right)\\[0.3cm]$
4. $\hspace{0.1cm}\left(\cfrac{2}{3}a^3+\cfrac{1}{5}ab-\cfrac{1}{2}b^2\right)+\left(\cfrac{5}{4}a^2-\cfrac{1}{10}ab+\cfrac{1}{6}b^3\right)\\[0.3cm]$
5. $\hspace{0.1cm}\left(6m^{n-1}-7m^{n-2}-5m^{n+3}\right)+\left(4m^{n-1}-7m^{n+2}-m^{n+3}\right)\\[0.3cm]$
6. $\hspace{0.1cm}\left(x^4-3x^3y+2x^2y^2+xy^3\right)\cdot\left(-y^2-xy-x^2\right)\\[0.3cm]$
7. $\hspace{0.1cm}\left(m^4+3-m^2+m^3\right)\cdot\left(m^2-2m+3\right)\\[0.3cm]$
8. $\hspace{0.1cm}\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)\cdot\left(x^2-2y^2+xy\right)\\[0.3cm]$

9. $\hspace{0.1cm}\left(\cfrac{9}{5}x^2-\cfrac{5}{6}xy+\cfrac{2}{9}y^2\right)-\left(\cfrac{3}{2}xy-\cfrac{1}{3}y^2+\cfrac{1}{4}\right)\\[0.3cm]$
10. $\hspace{0.1cm}\left(\cfrac{1}{2}a^2b+\cfrac{1}{2}ab^2-\cfrac{1}{5}\right)-\left(-\cfrac{5}{4}a^2b+\cfrac{1}{8}ab^2-\cfrac{5}{2}b^3-\cfrac{1}{2}\right)\\[0.3cm]$
11. $\hspace{0.1cm}\left(\cfrac{1}{3}m^2n^2-\cfrac{1}{4}m^3n-n^4\right)-\left(-\cfrac{2}{3}m^4+\cfrac{2}{5}m^3n-\cfrac{3}{5}m^2n^2+\cfrac{5}{3}n^4\right)\\[0.3cm]$
12. $\hspace{0.1cm}\left(\cfrac{2}{5}x^2y^2+\cfrac{3}{10}x^3y+y^4\right)-\left(\cfrac{1}{3}x^4-\cfrac{7}{5}x^3y+\cfrac{1}{4}x^2y^2-\cfrac{3}{2}y^4\right)\\[0.3cm]$
13. $\hspace{0.1cm}\left(\cfrac{1}{2}x^2+\cfrac{1}{3}xy\right)-\left(\cfrac{1}{2}x^3-\cfrac{1}{2}xy+\cfrac{1}{4}y^2\right)\\[0.3cm]$
14. $\hspace{0.1cm}\left(m^4+3m^2+4\right)\cdot\left(3m^3-2m+1\right)\\[0.3cm]$
15. $\hspace{0.1cm}\left(8x^3-12x^2y-6xy^2+y^3\right)\cdot\left(3x^2+4y^3-1\right)\\[0.3cm]$