Step-by-step explanation:
first we expand the whole expression.
(3^5 - 3^4) (3^3 + 3^2)
= 3^8 + 3^7 - 3^7 - 3^6
= 3^8 - 3^6
Note that 3^6 is a common factor.
=3^6 ( 3^2 - 1)
= 3^6 * 8
=3^5 * 3*8
=3^5 * 24
So the result shows that 24 is a factor of the expression.
Therefore, the expression is divisible by 24.
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