If a - b = 4 and a + b = 6; find : (i) a² + b² (ii) ab

Question

KnowledgeBoat · Accepted Answer

(i) We know that, (a - b)² = a² + b² - 2ab .............(1) (a + b)² = a² + b² + 2ab ..............(2) Adding equation (1) and (2), we get : (a - b)² + (a + b)² = 2(a² + b²) (a² + b²) = Substituting values we get : Hence, a² + b² = 26. (ii) We know that, (a - b)² = a² + b² - 2ab .............(1) (a + b)² = a² + b² + 2ab ..............(2) Subtracting equation (1) from (2), we get : ⇒ (a + b)² - (a - b)² = a² + b² + 2ab - (a² + b² - 2ab) ⇒ (a + b)² - (a - b)² = 4ab ⇒ ab = Substituting values we get : Hence, ab = 5.

Mathematics

If a - b = 4 and a + b = 6; find :
(i) a² + b²
(ii) ab

Expansions

Related Questions

If a - b = 0.9 and ab = 0.36; find :
(i) a + b
(ii) a² - b²

Mathematics

If a - b = 4 and a + b = 6; find :(i) a2 + b2(ii) ab

Expansions

Related Questions

If a - b = 0.9 and ab = 0.36; find :(i) a + b(ii) a2 - b2

If a - b = 4 and a + b = 6; find :
(i) a² + b²
(ii) ab

If a - b = 0.9 and ab = 0.36; find :
(i) a + b
(ii) a² - b²