Completing the square with radicals: 16x^2 - 48x sqrt(6) + P

[kyil]

I have an equation that involves a radical as the b term and I don't know how to find the c term since there is a coefficient for a and I am confused how to square terms with radicals.
16x²-48x√6+ P

I need help finding P so that the equation is a perfect square.

 

[stapel]

I have an equation that involves a radical as the b term and I don't know how to find the c term since there is a coefficient for a and I am confused how to square terms with radicals.
16x²-48x√6+ P

I need help finding P so that the equation is a perfect square.

They've given you the pattern:

. . . . .\(\displaystyle a^2\, x^2\, +\, 2\, a\, b\, x\, +\, b^2\, =\, (ax\, +\, b)^2\)

They've given you the first two terms, plus a letter for the third term. From the first term they gave you and the formula they gave you, what then must be the value of "a"? Using this, along with the second term they gave you and the formula they gave you, what then must be the value of "b"? Then what must be the value of b^2? So what is the value of P?

Please be complete. Thank you!