7) If a + b² = 9 and ab=4 3 (atb) 2-2(a-b)?
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Given: a squares +b square =9 and ab = 4
Consider the identity
(a-b ) square = a square +b square -2ab
a-b)square = 9-2×4
=9-8
=1 .
(a-b) =+/- 1 .
Now considering identity .
(a+b) square = a square +b square +2ab
= 9+2×4
=9+8=17
(a-b) = +/- 17 .
Finally consider
=3 (a+b) square -2 (a-b) square .
=3×17-2×1
=51-2
=49
Value of given expression is 49.
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