find a²+b², if a-b=19 and ab=8
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Answer:
To find , a² + b²
If , (a - b) = 19 and ab = 8
So As we know
(a - b)² = a² + b² - 2ab
= (a - b)² + 2ab = a² + b²
Now putting the value as it is given that (a-b) = 19 and ab = 8
So , a² + b² = (a - b)² + 2ab
a² + b² = (19)² + 2 × 8
a² + b² = 361 + 16
a² + b² = 377.
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