Factor, using the given factor. Assume all variables
represent positive real numbers.
2k-3 + k-8 ; k-8
It means to put the k-8 on the left, followed
by an open parentheses with a couple blanks and
a + sign between like this:
k-8( + )
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and then fill in those two blanks in the parentheses
with two terms such that if you were to distribute it
out you would get the original expression 2k-3 + k-8.
To find out what goes in the first blank divide 2k-3
by k-8 by subtracting exponents -3 MINUS -8. Do that
out to the side or on scrap paper, like this
(-3) - (-8) = -3 + 8 = 5
then write 2k5 in the first blank
k-8(2k5 + )
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To find out what goes in the second blank divide 2k-8 by
k-8 by subtracting exponents -8 MINUS -8. Do that out to
the side or on scrap paper, like this
(-8) - (-8) = -8 + 8 = 0
So that means k0 goes in the second blank.
k-8(2k5 + k0 )
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But k0 is just 1, so we erase the k0 and put a 1 there
k-8(2k5 + 1 )
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Answer:
k-8(2k5 + 1)
Edwin