Question

a²+b²=34 and ab=15. Find the value of (a+b)²

Answer 1

Answer:

(a+b)sq.=64

Step-by-step explanation:

(a+b)sq.=(a)sq+2ab+(b)sq

=34+2(15)

=34+30

=64

Answer 2

GIVEN :

a² + b² = 34

ab = 15

TO FIND :

Value of (a + b)²

SOLUTION :

We know that,

a² + b² = (a + b)² - 2ab

34 = (a + b)² - 2(15)

34 = (a + b)² - 30

(a + b)² = 34 + 30

(a + b)² = 64

Therefore, the value of (a + b)² is 64.