Question

If xy=5 and x square +y square =25 ,then (x+y)square ​

Answer 1

Answer:

(x + y)² = 35

Step-by-step explanation:

The expansion of

(x + y)² = x² + 2xy + y²

           = x² + y² + 2xy ← substitute given values

          = 25 + 2(5)

           = 25 + 10

           = 35

Answer 2

Answer:

35

Step-by-step explanation:

$xy = 5 \\ \\ {x}^{2} + {y}^{2} = 25 \\ \\ \because \: {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy\\ \\ \therefore {(x + y)}^{2} = 25 + 2 \times 5 \\ \\ \therefore {(x + y)}^{2} = 25 + 10 \\ \\ \huge \red{ \boxed{\therefore {(x + y)}^{2} = 35}}$