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Evgesh-ka [11]
3 years ago
7

Show that n(n – 1)(n + 1) + 6n ≡ n3 + 5n

Mathematics
1 answer:
Nitella [24]3 years ago
4 0
Answer:

Explanation:

n(n - 1)(n + 1) + 6n = n^3 + 5n
n(n^2 - 1) + 6n = n^3 + 5n
n^3 - n + 6n = n^3 + 5n
n^3 + 5n = n^3 + 5n (proven)
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Here's a better picture
schepotkina [342]
1) 3/5=9/x (cross multiply<span>)
3x=5(9)
3x=45
x=15

2) </span>2/4=x/12   (cross multiply<span>)
</span> 2(12)=4x
     24=4x
<span>       6=x

</span>3) 10/x=5/9   (cross multiply<span>)
   10(9)=5x
       90=5x
       18=x
</span>
4) 5/6=x/18
5(18)=6x
90=6x
x=15
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4 years ago
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