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Problem Solving (PS) | Re: Simplify (16^3-15^3)(16^2-15^2)

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ankitaprsd wrote:

Simplify \((16^3-15^3)(16^2-15^2)\) =

A. 22468
B. 22351
C. 22216
D. 22192
E. 22106


We can focus on units digits to solve the question.

Since 6 raised to an exponent always produces a units digit of 6, and 5 raised to an exponent always produces a units digit of 5, we have the units digit of the expression as:

(6 - 5)(6 - 5) = 1 x 1 = 1

Thus, the correct answer must have a units digit of 1. Thus, the answer is 22,351.

Answer: B
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