1.) Find the term containing X^2 in the expression (1+1/x^2) (2 + x)^4. Simplify your answer.
2.) Simplify by using the index law.
a.) (6x^-1 X x^-9y^5)^3
b.) (2/3- x^0 X x^0) ^4
(x+2)^4 = x^4+4x^3*2 + 6x^2*2^2 + 4x*2^3 + 2^4 = x^4+8x^3+24x^2+32x+16
Now multiply that by 1 + 1/x^2 and you get
... + 24x^2 + ... + x^2 = 25x^2