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Verified answer
Understanding the question:-
If we subtract a specific number from -8xy + 2x² + 3y², we will get x² + 2.
Solution :-
Let the unknown number be A.
Now, according to question,
(-8xy + 2x² + 3y²) - ( A ) = x²+2
-8xy + 2x² + 3y² - A = x² + 2
-8xy + 2x² - x² + 3y² - A = 2
-8xy + x² + 3y² - A = 2
A = -8xy + x² + 3y² - 2
So, if we subtract -8xy + x² + 3y² - 2 from -8xy + 2x² + 3y², we will get x²+2.
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Check:-
(-8xy + 2x² + 3y²) - (-8xy + x² + 3y² - 2) = x²+2
-8xy + 2x² + 3y² + 8xy - x² - 3y² + 2 = x² + 2
-8xy + 8xy + 2x² -x² + 3y² - 3y² + 2 = x² + 2
x² + 2 = x² + 2
Hence Proved!
And so that our answer is correct.
What should be subtracted from (-8xy+2x²+3y²) to get (x²+2) ?⠀⠀
A number which when gets subtracted from -8xy+2x²+3y² gives the result as x²+2
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✯ let the number be 'p'.
Acc. to the question,
∴ If we subtract (-8xy + x² + 3y² -2) from (-8xy + 2x² + 3y²), we get (x²+2).
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Here, the equation is –
(-8xy + 2x² + 3y²) - (-8xy + x² + 3y² - 2) = (x²+1)
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♦ LHS :
♦ RHS :
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LHS = RHS
hence verified!
⠀⠀⠀⠀i.e, our answer is correct :)
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⠀⠀⠀✨HOPE IT HELPS✨