Question

If a+b=10 and ab=16, find the value of a²– ab+b²and a²+ab+b²

Answer 1

hope this will help you!!!

Answer 2

Answer:

a² + b² - ab = 52

a² + b² + ab = 84

Step-by-step explanation:

Given that :

• a + b = 10
• ab = 16

To find :

• a² + b² + ab
• a² + b² - ab

Solution:

We know that,

(a+b)² = a² + b² + 2ab

=> (10)² = a² + b² + 2(16)

=> 100 - 32 = a² + b²

=> a² + b² = 68

Now,

(a-b)² = a² + b² - 2ab

=> (a-b)² = 68 - 2(16)

=> (a-b)² = 36

=> (a-b) = 6

___________________

a² + b² - ab

=> 68 - 16

=> 52

a² + b² + ab

=> 68 + 16

=> 84