Respuesta:
a) [tex]-5x (x2 -4x + 3)[/tex]
b) [tex]2x^2+x^2y-xy^2-2y^2[/tex]
c) [tex]3+2b[/tex]
d) [tex]-\frac{2\left(9y-20a\right)}{5}[/tex]
e) [tex]-3\left(4n+3\right)[/tex]
f) [tex]\frac{8x-8}{x+2}[/tex]
Explicación paso a paso:
a) Procedimiento:
[tex]-5x\left(x\cdot \:2-4x+3\right)\\\\2x-4x=-2x\\\\=-5x\left(-2x+3\right)[/tex]
b) Procedimiento:
[tex]=\left(x-y\right)\left(2x+xy+2y\right)\\\\=xx\cdot \:2+xxy+xy\cdot \:2+\left(-y\right)x\cdot \:2+\left(-y\right)xy+\left(-y\right)y\cdot \:2\\\\=2xx+xxy+2xy-2xy-xyy-2yy\\\\=2x^2+x^2y-xy^2-2y^2[/tex]
c) Procedimiento:
[tex]\frac{3a\cdot \:3-6a\cdot \:2b+9ab\cdot \:2}{3a}\\\\=\frac{9a+6ab}{3a}\\\\=\frac{3a\left(3+2b\right)}{3a}\\\\=3+2b[/tex]
d) Procedimiento:
[tex]-\frac{2\left(9y-20a\right)}{5}\\\\=\frac{18xy-40ax}{-5x}\\\\=-\frac{18xy-40ax}{5x}\\\\=-\frac{2\left(9y-20a\right)}{5}[/tex]
e)Procedimiento:
[tex]\frac{6m\cdot \:3-8m\cdot \:2n+20mn\cdot \:2}{-2m}\\\\=\frac{18m+24mn}{-2m}\\\\=-\frac{18m+24mn}{2m}\\\\=-3\left(4n+3\right)[/tex]
f) Procedimiento:
[tex]\frac{3x\cdot \:2+2x-8}{x+2}\\\\=\frac{8x-8}{x+2}[/tex]
