Question

lcm of 2^a+1 X 3^b-1 and 2^a X 3^b

Answer 1

Answer:

Step-by-step explanation:

2^a+1×3^b

3a×3b

=3ab

And 2a×3b

=6ab

Answer 2

Answer:

$2^{a+1}\times 3^b$

Step-by-step explanation:

Given expressions,

$2^{a+1}\times 3^{b-1}, 2^a\times 3^b$

Now,

$2^{a+1}\times 3^{b-1}$

$=2^a\times 2\times 3^b\times 3^{-1}$  $(\because a^{m+n}=a^m\times a^n)$

$=\frac{2^a\times 2\times 3^b}{3}$

$L.C.M. (2^{a+1}\times 3^{b-1}, 2^a\times 3^b)$

$=2^a\times 2\times 3^b$

$=2^{a+1}\times 3^b$