what should be added to x cube + 3 x square Y + 3 x y square + y cube to get x cube + y square
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Answer:
Subtract x
3
+3x
2
y+3xy
2
+y
3
from x
3
+y
3
x
3
+y
3
−(x
3
+3x
2
y+3xy
2
+y
3
)
=x
3
+y
3
−x
3
−3x
2
y−3xy
2
−y
3
Step 2:Combine the like terms and simplify
=(x
3
−x
3
)+(y
3
−y
3
)−3x
2
y−3xy
2
=>x
3
+y
3
−(x
3
+3x
2
y+3xy
2
+y
3
)=−3x
2
y−3xy
2
Hence, −3x
2
y−3xy
2
should be added to x
3
+3x
2
y+3xy
2
+y
3
to get x
3
+y
3
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