Question

a-b =6 , a+b =8 then find 2/3 ( a² - b² + ab )​

Answer 1

Answer:

a² + b² = 50

Step-by-step explanation:

Take the square of both equations.

(a+b) ² =(8) ²

a ² + b² + 2ab =64 (equation 1)

(a-b) ² = (6)²

a² + b² - 2ab = 36 (equation 2)

Now add equation 1 with equation 2

(a ² + b² + 2ab) + (a² + b² - 2ab) = 64 + 36

2a² + 2b² = 100

2(a² + b²) = 100

a² + b² = 50