50 Points! Prove that 327^3 + 173^3 is divisible by 500
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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.

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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.

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.