What should be taken away from 3x2square- 4y2square+5xy+20 to obtain-x2square-y2square+6xy+20?
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➡HERE IS YOUR ANSWER⬇
We assume that p be taken away from the given expression (3x² - 4y² + 5xy + 20) to obtain (- x² - y² + 6xy + 20).
Then,
(3x² - 4y² + 5xy + 20) - p = (- x² - y² + 6xy + 20)
=> p = (3x² - 4y² + 5xy + 20) - (- x² - y² + 6xy + 20)
= 3x² - 4y² + 5xy + 20 + x² + y² - 6xy - 20
= (3 + 1)x² + (5 - 6)xy + (- 4 + 1)y²
= (4x² - xy - 3y²)
So, (4x² - xy - 3y²) should be taken away from the given expression (3x² - 4y² + 5xy + 20) to obtain (- x² - y² + 6xy + 20).
⬆HOPE THIS HELPS YOU⬅
We assume that p be taken away from the given expression (3x² - 4y² + 5xy + 20) to obtain (- x² - y² + 6xy + 20).
Then,
(3x² - 4y² + 5xy + 20) - p = (- x² - y² + 6xy + 20)
=> p = (3x² - 4y² + 5xy + 20) - (- x² - y² + 6xy + 20)
= 3x² - 4y² + 5xy + 20 + x² + y² - 6xy - 20
= (3 + 1)x² + (5 - 6)xy + (- 4 + 1)y²
= (4x² - xy - 3y²)
So, (4x² - xy - 3y²) should be taken away from the given expression (3x² - 4y² + 5xy + 20) to obtain (- x² - y² + 6xy + 20).
⬆HOPE THIS HELPS YOU⬅
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