Question

if a+b=4 and a²+b²=10 then the value of ab​

Answer 1

Answer:

ab = 3

Step-by-step explanation:

a+b = 4

a²+b² = 10

(a+b)² = a² + b² + 2ab

(4)² = 10 + 2ab

16 - 10 = 2ab

6/2 = ab

3 = ab

Answer 2

$(a + b {)}^{2} = {a}^{2} + {b}^{2} + 2ab \\ {(4)}^{2} = 10 + 2ab \\ 16 - 10 = 2ab \\ 6 = 2ab \\ \frac{6}{2} = ab \\ 3 = ab$