Question

ex 5 va rog nu îl înțeleg ​

Answer 1

Explicație pas cu pas:

descompunere în factori, c.m.m.d.c. și c.m.m.m.c.

a)

$840 = {2}^{3}\cdot 3\cdot 5\cdot 7$

$672 = {2}^{5}\cdot 3\cdot 7$

c.m.m.d.c. = 2³•3•7 = 168

c.m.m.m.c. = 2⁵•3•5•7 = 3360

b)

$192 = {2}^{6}\cdot 3$

$144 = {2}^{4}\cdot {3}^{2}$

c.m.m.d.c. = 2⁴•3 = 48

c.m.m.m.c. = 2⁶•3² = 576

c)

$450 = 2 \cdot {3}^{2} \cdot {5}^{2}$

$224 = {2}^{5}\cdot 7$

c.m.m.d.c. = 2¹ = 2

c.m.m.m.c. = 2⁵•3²•5²•7 = 50400

d)

$675 = {3}^{3} \cdot {5}^{2}$

$864 = {2}^{5} \cdot {3}^{3}$

c.m.m.d.c. = 3³ = 27

c.m.m.m.c. = 2⁵•3³•5² = 21600