Math, asked by Nitya8, 1 year ago

How will you show that (17×11×2) + (17×11×5) is a composite number?

Answers

Answered by rational

108

$(17\times~11\times~2)~+~(17\times~11\times~5)=17\times~11(2+5)=17\times~11\times~7$

Clearly $17,11,7$ are factors, so it is composite.

Nitya8: one stupid doubt.....how is it 5+2?

Nitya8: isn't it supposed to be 5+12?

rational: just factor out 17x11 from the two terms leaving 2 in first term and 5 in second term

Nitya8: oh k i got it i made a small mistake in the question....

Nitya8: but ur answer is correct thanks a looot

rational: np:)

Nitya8: :)

Answered by MADHANSCTS

143

(17×11×2) + (17×11×5)let take common as 17×11
(17×11) (2+5)17 ×11× 7
we know that product of primes will be a composite number.
hence (17×11×2) + (17×11×5) it is a composite number.

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