Question

ᴅᴏɴ'ᴛ ᴀɴsᴡᴇʀ ɪғ ᴜ ᴅᴏɴ'ᴛ ᴋɴᴏᴡ......
​

Answer 1

Answer:

$1){ \sf{{9}^{2n} - {4}^{2n} is \: divisible \: by \: }}$

${ \to{ \sf{ {9}^{2n} - {4}^{2n}is \: divisible \: by \: 9 + 4 = 13 }}}$

${ \to{ \sf{\: because  \: {x}^{2n} - {y}^{2n} divisible by x+y}}}$

Option C , D is your answer

_________________________

${ \sf{2)Exponent \: of \: 2 \: in \: the \: prime \: factorization \: of \: 144}}$

${ \to{144 = {2}^{4} \times {3}^{2} }}$

B, D is your answer

_________________________

${ \sf{3) \: 5( {6}^{n} - {5}^{n}) \: always \: end \: with }}$

$\sf{6}^{n} \: always \: end \: with \: 6$

$\sf \: {5}^{n} \: always \: end \: with \: 5$

${\to{ \sf{( {6}^{n} - {5}^{n} ) \: always \: end \: with \: (6 - 5) = 1}}}$

$\to \: 5 \times 1 = 5$

So it will end with 5

Option A, D is your answer

__________________________

${ \sf{4) \: ( \sqrt{15} + \sqrt{2})( \sqrt{15} - \sqrt{2} ) }}$

${ \to{ { (\sqrt{15}) }^{2} - { (\sqrt{2} )}^{2} }}$

$\to \: 15 - 2 = 13$

Option C, D is your answer