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First one to answer receives 100 points and brainiest!

Prove the value of the expression(s):
#1: (2^10+2^8)(2^5-2^3) is divisible by 60.
#2: (16^3-8^3)(4^3+2^3) is divisible by 63.
#3: (125^2+25^2)(5^2-1) is divisible by 39.

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First one to answer receives 100 points and brainiest Prove the value of the expressions 1 210282523 is divisible by 60 2 163834323 is divisible by 63 3 1252252 class=
First one to answer receives 100 points and brainiest Prove the value of the expressions 1 210282523 is divisible by 60 2 163834323 is divisible by 63 3 1252252 class=
First one to answer receives 100 points and brainiest Prove the value of the expressions 1 210282523 is divisible by 60 2 163834323 is divisible by 63 3 1252252 class=

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Answer and Step-by-step explanation:

116 b.

[tex]2^{10} = 1024\\2^8 = 256\\\\1024 + 256 = 1280\\\\\\2^5 = 32\\2^3 = 8\\\\32 - 8 = 24[/tex]

1280 × 24 = 30720

30720 ÷ 60 = 512. 512 is the solution; the expression is divisible by 60.

116 c.

[tex]16^3 = 4096\\8^3 = 512\\\\4096 - 512 = 3584\\\\\\4^3 = 64\\2^3 = 8\\\\64 + 8 = 72[/tex]

3584 × 72 = 258048

258048 ÷ 60 = 4096. 4096 is the solution; the expression is divisible by 63.

116 d.

[tex]125^2 = 15625\\25^2 = 625\\\\15625 + 625 = 16250\\\\\\5^2 = 25\\\\25 - 1 = 24[/tex]

16250 × 24 = 390000

390,000 ÷ 39 = 10,000. 10,000 is the solution; the expression is divisible by 39.

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