Question

1.calcula el mcd y el mcm de los siguientes monomios: [
AYUDA ​

Answer 1

a) $4x^{2} y^{3} ;8x^{2}y^{2}z^{2}$

$4x^{2} y^{2} =2^{2} x^{2} y^{2}$

$8x^{2}y^{2}z^{2}=2^{3}x^{2}y^{2}z^{2}$

MCD = $4x^{2}y^{2}$

MCM = $8x^{2}y^{2}z^{2}$

b)  $12x^{2}yz^{3};18xy^{2}z;24x^{3}yz^{2}$

$12x^{2} yz^{3} =2^{2} .3.x^{2} y.z^{3}$

$18xy^{2} z=2.3.x^{2} .y^{2} .z$

$24x^{3} yz^{2} =2^{3} .3.x^{3}yz^{2}$

MCD = $2.3.x.yz=6xyz$

MCM=$2^{3}.3^{2}.x^{3}.y^{2}.z^{3}=72x^{3}y^{2}z^{3}$

c) $8am^{3}n;20x^{2}m^{2}$

$8am^{3}n=2^{3}am^{3}n$

$20x^{2}m^{2}=2^{2}.5x^{2}m^{2}$

MCD =$2^{2}m^{2}=4m^{2}$

MCM =$2^{3}.5ax^{2}m^{3}n=40am^{3}nx^{2}$

d) $4x^{3}y^{3};8x^{2}y^{2};2x$

$4x^{3}y^{3}=2^{2}x^{3}y^{3}$

$8x^{2}y^{2}=2^{3}x^{2}y^{2}$

$2x$

MCD = $2x$

MCM = $2^{3}x^{3}y^{3}=8x^{3}y^{3}$

Espero que te haya servido ..!