what must be added to x⁴ - x³ + x² + x + 3 to obtain 5x² + 10xy - y²
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Let, If we add m in x⁴-x³+x²+x+3 , we will get 5x²+10xy-y²
Now ,
x⁴+x³+x²+x+3+m= 5x²+10xy-y².
m= (5x²+10xy-y²) - ( x⁴+x³+x²+x+3)
m= 5x²+10xy-y²-x⁴-x³-x²-x-3
m= 4x²-x⁴-x³-x-3+10xy-y²
So, this is the answer.
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