Math
posted by Ms.Ellis .
Reiny can you show me how to check this problem.
5a^820a^725a^6
=5a^6(a^24a5)
=5a^6(a^25a+a5)
=5a^6(a(a5)+1(a5)
=5a^6(a5)(a+1) (answer)

The GCF is always = to 0r less than the smallest coefficient:
GCF =< 5.
When a variable is involved, choose the
common variable of lowest degree(smallest exponent). All of this has been properly done.
Answer check:
Perform the multiplication; the product
should be identical to the expression
that was given.
5a^6(a5)(a+1) =
(5a^725a^6)(a+1) =
5a^8 + 5a^7  25a^7 25a^6 =
Combine liketerms:
5a^8  20a^7  25a^6.
Your answer is correct!
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