Question

if a-b=3/2 and ab=27/16,find i) a+b ii)a^2-b^2

Answer 1

Answer:

Step-by-step explanation:

a + b = 12 |given|

ab = 27

•°• we know that

a³ + b ³ = (a + b ) ( a² + b² - ab )

and , ( a + b ) ²- 2ab = a² + b²

so , a³ + b³= ( a + b ){ ( a + b )² - 3ab }

hence , a³ + b³ = 12{12²- 3 ×27 } ✔ putting the given value

=> 12 { 144- 3×27 }

=> 12×63

= > 756 Answer

a³ + b³ = 756 Answer