Question

What is the following product? (4x sqrt5^2 + 2x^2 sqrt6)^2

Answer 1

We expand the perfect square trinomial using the formula:
`(a+b)^2=a^2+2ab+b^2`

`(4x^(2) √(5)+2x^(2) √(6))^2 \\ =(4x^(2) √(5))^2 + 2(4x^(2) √(5))(2x^(2) √(6))+(2x^(2) √(6))^2 \\ =80x^4+16x^4 √(30)+24x^4 \\ =(104+16√(30))x^4`