Answer
The answer is below.
Work Step by Step
We know the pattern is: $a^4 + 4a^3 b + 6a^2 b^2 + 4ab^3 +b^4$. Using this equation, we can obtain the answers.
Plugging in x for a and 2 for b, we find:
$x^4 + 8x^3 + 24x^2 + 32x + 16$
Plugging in x for a and 3 for b, we find:
$x^4 + 12x^3 + 54x^2 + 108x + 81$
Plugging in 2x for a and 1 for b, we find:
$16x^4 + 32x^3 + 24x^2 + 8x +1 $
