what should be taken away from 3x²-4y²+5xy +20 to be obtain the difference between 3x²+8y²+16xy+7and 10xy+4x²-13+9y²
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Step-by-step explanation:
Let q should be subtracted.
Then according to question,
3x
2
−4y
2
+5xy+20−q=−x
2
−y
2
+6xy+20
⇒q=3x
2
−4y
2
+5xy+20−(−x
2
−y
2
+6xy+20)
⇒q=3x
2
−4y
2
+5xy+20+x
2
+y
2
−6xy−20
⇒q=3x
2
+x
2
−4y
2
+y
2
+5xy−6xy+20−20
⇒q=4x
2
−3y
2
−xy+0
Hence, 4x
2
−3y
2
−xy should be subtracted.
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