SOLUTION: Fill in the blanks to make the equation true. 15a^4 - 5a^4 b - ___ + 20a^2 = 12a^2 b - 8b^4 - 4^b + __

SOLUTION: Fill in the blanks to make the equation true. 15a^4 - 5a^4 b - _ + 20a^2 = 12a^2 b - 8b^4 - 4^b + _ 4a^2 b^2 12ab^2 18a^2 5a^2 b^3 16b^2

Question 1210618: Fill in the blanks to make the equation true.

15a^4 - 5a^4 b - ___ + 20a^2 = 12a^2 b - 8b^4 - 4^b + ___

4a^2 b^2 12ab^2 18a^2 5a^2 b^3 16b^2
Found 2 solutions by CPhill, KMST:
Answer by CPhill(2264) (Show Source): You can put this solution on YOUR website!
The answers are 5a^2 b^3 and 16b^2.
Answer by KMST(5362) (Show Source): You can put this solution on YOUR website!
This question is strange, and open to several interpretations.
I also suspect that the question was not properly typed as intended.
Among other problems, the term 4^b in the equation seems suspicious.
I tried several interpretations and I cannot find a valid solution.
Maybe equation was meant to be
.
Or maybe it was meant to be .
Or maybe none of the above. The term } looks suspiciously out of place.
and what was meant by "make the equation true" was
make the equation true for any ordered pair (a,b).
The expressions to be used to fill the blanks seem to be
,
or maybe .
What was meant by what was meant by "make the equation true" is not clear, or a commonly stated that way in math.
Maybe equation was meant to be
.
Or maybe it was meant to be .
Did it mean make the equation be an identity, true for any ordered pair (a,b)?
Are we to assume that "fill in the blanks", with a list of expressions at the end means to use one of the expressions given to fill one of the blanks and another one of the expressions given to fill the other blank?

Making the two assumptions above, for ,
, turns into ,
while turns into .

For , the equation ,
which I will re-write as turns into
, which simplifies into
--> -->

For , the equation ,
which I will re-write as , turns into
, which also simplifies into
.
in the list of values to fill the blank above, there is no 2 values that add to .
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SOLUTION: Fill in the blanks to make the equation true. 15a^4 - 5a^4 b - ___ + 20a^2 = 12a^2 b - 8b^4 - 4^b + ___ 4a^2 b^2 12ab^2 18a^2 5a^2 b^3 16b^2

SOLUTION: Fill in the blanks to make the equation true. 15a^4 - 5a^4 b - _ + 20a^2 = 12a^2 b - 8b^4 - 4^b + _ 4a^2 b^2 12ab^2 18a^2 5a^2 b^3 16b^2