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:
35
Step-by-step explanation:
[tex]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}}[/tex]
