add a²+b² to the sum of 5a²_b² + 6 and _4a²_b²+15.
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Answer:
What must be subtracted from a
2
+b
2
+2ab to get −4ab+2b
2
?
Step-by-step explanation:
let x must be subtracted
⟹a
2
+b
2
+2ab−x=−4ab+2b
2
⟹x=a
2
+b
2
+2ab−(−4ab+2b
2
)
It can be written as
x=a
2
+b
2
+2ab+4ab−2b
2
⟹x=a
2
+(b
2
−2b
2
)+(2ab+4ab) (combining like terms)
⟹x=a
2
−b
2
+6ab
∴a
2
−b
2
+6ab must be subtracted
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