Other possible answers:
1+1+16+25
1+1+9+16+16
... the pattern you see though is that there is no combination of square numbers greater than 1 that adds up to 43.
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43 is a prime number. So, 43 can only be produced as a product of 1 times 43.
75 - 32
They are: 29*43 = 1247
21 and 22
no