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19-03-2022
Mathematics

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Prove that the value of the expression
(3^5-3^4)(3^3+3^2) is divisible by 24

Prove that the value of the expression 35343332 is divisible by 24 class=

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21-03-2022

Answer:

243

Step-by-step explanation:

(3^5 – 3^4) (3^3 + 3^2)

= (243 – 81) (27 + 9)

= (162) (36)

= 5832

24 = 8*3

because 832 can be divided by 8 and 5+8+3+2 = 18 is divisible by 3,

5832 is divisible by 24

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