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\( (x^2-y)^2+(y^2-x)^2=(?)\times(x^2+1)+2xy\times(?)+y^2\times(?) \)
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\( x^2+?+9=(x-3)^2 \)
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\( (2x-?)^2=4x^2-12x+\text{?} \)
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\( (x-?)^2=x^2-?+25 \)
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\( (?\times x-?)^2=9x^2-24x+16 \)
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To solve this problem, let's consider the expansion of the expressions:
First, expand each square:
Expanding these expressions, we get:
Adding the two expanded forms gives:
Now rearrange the terms in a form similar to the given expression:
The goal is to arrange the polynomial as: .
Since now we want: .
Create matching forms:
Therefore, the correct values to fill in are .
Thus, our complete expression is:
Hence, the answer is:
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\( (?\times x-1)^2+(?\times x-2)^2=5x^2-8x+5 \)
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