Expand and simplify
(x+3)^2/9 + ((x^2)-4)^2/4 = 1
Expanding and simplifying the equation:
(x^2 + 6x + 9)/9 + (x^4 - 8x^2 + 16)/4 = 1
Multiplying the terms with denominators to get a common denominator:
4(x^2 + 6x + 9)/36 + 9(x^4 - 8x^2 + 16)/36 = 1
Expanding the terms further:
(4x^2 + 24x + 36 + 9x^4 - 72x^2 + 144)/36 = 1
Combining like terms:
(9x^4 - 68x^2 + 4x^2 + 24x + 36 + 144)/36 = 1
(9x^4 - 64x^2 + 24x + 180)/36 = 1
Simplifying:
9x^4 - 64x^2 + 24x + 180 = 36
9x^4 - 64x^2 + 24x + 144 = 0
Therefore, the simplified and expanded equation is:
9x^4 - 64x^2 + 24x + 144 = 0