Given that the square of (a + b) is 17 and the square of (a-b) is 8, find the sum of the squares of a + B and ab

From (1)
a²+b²+2ab=17 (3)
From (2)
a²+b²-2ab=8 (4)
(3) + (4) get
2a²+2b²=25
∴ a²+b²=25/2
(3) - (4) get
4ab=9
∴ab=9/4

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