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Sagot :
Answer:
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 :)
Answer:
Step-by-step explanation:
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ALGEBRAIC IDENTITY USED IN THIS QUESTION :-
[tex]a^3 + b^3 = (a + b)(a^2 + b^2 - ab)[/tex]
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Lets expand 327³ + 173³.
[tex]=> (327 + 173)(327^2 + 173^2 - 327 \times 173)[/tex]
[tex]=> 500 \times (327^2 + 173^2 - 327 \times 173)[/tex]
After expanding it , we get 500 & (327² + 173² - 327×173) as factors.
∴ Hence , 327³ + 173³ is divisible by 500.
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