50 Points! Prove that 327^3 + 173^3 is divisible by 500
It's a good question, and would like to see some answers

327^3 = 34 965 783

173^3 = 5 177 717

34 965 783 + 5 177 717 = 40 143 500

40 143 500 ÷ 500 = 80 287

80 287 is a whole number, therefore, 327^3 + 173^3 is divisible by 500.

I hope this helps :)

Step-by-step explanation:

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ALGEBRAIC IDENTITY USED IN THIS QUESTION :-

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Lets expand 327³ + 173³.

After expanding it , we get 500 & (327² + 173² - 327×173) as factors.

∴ Hence , 327³ + 173³ is divisible by 500.

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!