if a-b =9 and ab=36 evaluate (I) a+b (ii) a²-b²
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Answer:(i)(a + b) = 15; (ii)a²-b²= 135
Step-by-step explanation: Given that,
a-b = 9 and ab = 36.
We know the formula; (a + b)² = (a - b)² + 4ab.
On putting given values, We get:
(a + b)² = 9² + 4×(36)
→ (a + b)² = 81 + 144
→ (a + b)² = 225
→ (a + b) = 15
Now,Given and we found that,
a - b = 9 and a + b = 15
We know the formula; a² - b² = (a + b) (a - b)
On putting given values, We get:
a² - b² = 15 × 9
→ a² - b² = 135
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