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kkurt [141]
2 years ago
15

Prove that 25^9+5^17is divisible by 30

Mathematics
1 answer:
VLD [36.1K]2 years ago
6 0

Answer:

proof is below

Step-by-step explanation:

Answer:

25^9 + 5^17=

=2^18 + 5^17

=5^17(5+1)

=5^17×6

=5^16×30  is divisible by 30

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Given :  tan 235 = 2 tan 20 + tan 215

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=> Tan 20 = Tan ( 55 - 35)

=> Tan 20  = (Tan55 - Tan35) /(1 + Tan55 . Tan35)

Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1

=> Tan 20  = (Tan 55 - Tan 35) /(1 + 1)

=> Tan 20  = (Tan 55 - Tan 35) /2

=> 2 Tan 20  = Tan 55 - Tan 35

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=>  tan 55 = 2tan 20 + tan 35

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QED

Hence Proved

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