[tex]a)\\\left(-4ax\right)\left(3a^2x\right)\\\\\left(-4ax\right)=-4ax\\\\=-4ax\cdot \:3a^2x\\\\=-12axa^2x\\\\xx=x^2\\\\=-12ax^2a^2\\\\=-12a^3x^2[/tex] [tex]b)\\\left(-5x^3\right)\left(2x\right)\left(-6x^2\right)\\\\=5x^3\cdot \:2x\cdot \:6x^2\\\\=60x^3x^2x\\\\x^3xx^2=\:x^{3+1+2}\\\\=60x^{3+1+2}\\\\\mathrm{Somar:}\:3+1+2=6\\\\=60x^6[/tex] [tex]c)\\\frac{24a^3b^2c}{8abc}\\\\=\frac{24a^3b^2}{8ab}\\\\=\frac{8\cdot \:3a^3b^2}{8ab}\\\\=\frac{3a^3b^2}{ab}\\\\=\frac{3a^2b^2}{b}\\\\=3a^2b[/tex]
[tex]d)\\\frac{55x^2y^3}{-11xy}\\\\=-\frac{55x^2y^3}{11xy}\\\\\mathrm{Dividir:}\:\frac{55}{11}=5\\\\=\frac{5x^2y^3}{xy}\\\\=\frac{5xy^3}{y}\\\\=-5xy^2[/tex]
