What term should be added to the following expression to make it a perfect square?
9a² + 2ab +b²
Answers
Answered by
0
Step-by-step explanation:
Given : 9−a
2
+2ab−b
2
We can further write it as
9−a
2
+2ab−b
2
=9−(a
2
−2ab+b
2
)
So we get
9−a
2
+2ab−b
2
=3
2
−(a−b)
Based on the equation a
2
−b
2
=(a+b)(a−b)
We get,
9−a
2
+2ab−b
2
=(3+a−b)(3−a+b)
Answered by
0
Step-by-step explanation:
Given : 9−a
2
+2ab−b
2
We can further write it as
9−a
2
+2ab−b
2
=9−(a
2
−2ab+b
2
)
So we get
9−a
2
+2ab−b
2
=3
2
−(a−b)
Based on the equation a
2
−b
2
=(a+b)(a−b)
We get,
9−a
2
+2ab−b
2
=(3+a−b)(3−a+b)
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