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Answer» Answer: We KNOW that (a + b)² = (a - b)² + 4ab Here • a + b = 2 • a - b = 10 By substituting the values ⇒ (2)² = (10)² + 4ab ⇒ 4 = 100 + 4ab ⇒ 4 - 100 = 4ab ⇒ - 96 = 4ab ⇒ - 96/4 = AB ⇒ - 24 = ab ⇒ ab = - 24 We know that (a + b)² = a² + b² + 2ab Here • a + b = 2 • ab = - 24 By substituting the values ⇒ (2)² = a² + b² + 2(-24) ⇒ 4 = a² + b² - 48 ⇒ 4 + 48 = a² + b² ⇒ 52 = a² + b² ⇒ a² + b² = 52 Therefore the VALUE of a² + b² is 52 and the value of ab is - 24 |
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