. What should be taken away from 4xy - 3zx + 4yz - 7 to leave xy - 3y2 + 4zx?
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Let,
The polynomial that should be added be P.
Then according to question,
(xy−3yz+4zx)+P=(4xy−3zx+4yz+7)
⇒P=(4xy−3zx+4yz+7)−(xy−3yz+4zx)
⇒P=4xy−3zx+4yz+7−xy+3yz−4zx
Rearranging and collecting like terms,
⇒P=4xy−xy−3zx−4zx+4yz+3yz+7
⇒P=3xy−7zx+7yz+7
Hence, 3xy−7zx+7yz+7 should be added to get the required result.
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