Explicación paso a paso:
1)
[tex]G=a(a-9)+9a\\G=a^{2}-9a+9a\\G=a^{2}[/tex]
2)
[tex]R=(5x-2)(x+5)-5x^{2} +10\\R=5x^{2} +25x-2x-10-5x^{2} +10\\R=25x-2x\\R=23x[/tex]
3)
[tex]E+F=5m(m-2)-5m^{2} +(m-1)(m+3)\\E+F=5m^2-10m-5m^2+m^2+3m-m-3\\E+F =m^2-10m-m+3m-3\\E+F=m^2-8m-3[/tex]
4)
[tex]P=\frac{49x^9y^4}{7x^2y}-\frac{24x^{10}y^5}{3x^3y^2}+13x^7y^3\\P=7x^7y^3-8x^7y^3+13x^7y^3\\P = 12x^7y^3[/tex]
5)
[tex]M=\frac{25a^5b^9}{5ab^3}-\frac{42a^6b^7}{6a^2b}+15a^4b^6\\M=5a^4b^6-7a^4b^6+15a^4b^6\\M = 13a^4b^6[/tex]
6)
[tex]B=\frac{-9m^8n^9}{-3m^3n^4}+\frac{32m^{10}n^6}{-4m^5n}-\frac{24m^7n^{13} }{6m^2n^8}\\B=3m^5n^5-8m^5n^5-4m^2n^5\\B=-9m^5n^5[/tex]
