what should be subtracted from×–×y+y-×+3 to obtain-×+3y-4+×y+1?
Answers
Step 1:In order to get the result, we subtract x
3
−2x2y+3xy
2
+4y
3
from 2x
3
−3x
2
y+2xy
2
+3y
3
2x
3
−3x
2
y+2xy
2
+3y
3
−(x
3
−2x
2
y+3xy
2
+4y
3
)
=2x
3
−3x
2
y+2xy
2
+3y
3
−x
3
+2x
2
y−3xy
2
−4y
3
Step 2:Combine the like terms and simplify
=(2x
3
−x
3
)+(−3x
2
y+2x
2
y)+(2xy
2
−3xy
2
)+(3y
3
−4y
3
)
=>2x
3
−3x
2
y+2xy
2
+3y
3
−(x
3
−2x
2
y+3xy
2
+4y
3
)=x
3
−x
2
y−xy
2
−y
3
Hence, x
3
−x
2
y−xy
2
−y
3
should be subtracted from 2x
3
−3x
2
y+2xy
2
+3y
3
to get x
3
−2x
2
y+3xy
2
+4y
3
Answer:
Step 1:In order to get the result, we subtract x
3
−2x2y+3xy
2
+4y
3
from 2x
3
−3x
2
y+2xy
2
+3y
3
2x
3
−3x
2
y+2xy
2
+3y
3
−(x
3
−2x
2
y+3xy
2
+4y
3
)
=2x
3
−3x
2
y+2xy
2
+3y
3
−x
3
+2x
2
y−3xy
2
−4y
3
Step 2:Combine the like terms and simplify
=(2x
3
−x
3
)+(−3x
2
y+2x
2
y)+(2xy
2
−3xy
2
)+(3y
3
−4y
3
)
=>2x
3
−3x
2
y+2xy
2
+3y
3
−(x
3
−2x
2
y+3xy
2
+4y
3
)=x
3
−x
2
y−xy
2
−y
3
Hence, x
3
−x
2
y−xy
2
−y
3
should be subtracted from 2x
3
−3x
2
y+2xy
2
+3y
3
to get x
3
−2x
2
y+3xy
2
+4y
3
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