(x+y )2=25
x2+y2=13 then xy is equal to
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Answered by
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QUESTION:-
If (x+y)²=25
and x²+y²=13
Find,xy=?
SOLUTION:-
Expand (x+y)²
Using Identity-->(a+b)²=a²+b²+ab
=>x²+y²+xy=25
From Given Use x²+y² value
=> 13+xy=25
xy=25-13
xy=12
Answered by
16
(x+y )²=25
So , x²+y²=13 then xy is equal to how much value ?
→ (x+y)² = 25
→ x²+y²=13
So, according to the question we have to Find xy=?
By Expand (x+y)²
Identity (a+b)² = a² + b²+ 2ab
→ x² + y² + 2xy = 25
From Given Use x²+y² value
→ 13 + 2xy = 25
→ 2xy = 25 - 13
→ 2xy=12
→ xy = 6
Hence the " xy" equals to 6
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