Question

Can some please solve
(√3x+√5y)^2

Answer 1

Answer:

$(\sqrt{3} x + \sqrt{5} y)^2$ $=3x^2 + 2\sqrt{15} xy + 5 y^2$

Step-by-step explanation:

$(\sqrt{3} x + \sqrt{5} y)^2$

$=(\sqrt{3} x )^2 + 2.(\sqrt{3} x ).(\sqrt{5} y)+ (\sqrt{5} y)^2$  [using the identity $(a + b)^2 = a^2 + 2.a.b + b^2$]

$=3x^2 + 2\sqrt{(3).(5)} xy + 5 y^2$  [since $a^m . b^m = (a.b)^m$]

$=3x^2 + 2\sqrt{15} xy + 5 y^2$