Need help with two Algebra 2 problems >_<

Lemme try the second one.

(a + b) ^ 6 - (a - b) ^ 6

Let A = (a + b) ^ 3
Let B = (a - b) ^ 3

A^2 - B^2 = (A + B)(A - B)

Place A and B back in

((a+b)^3 + (a - b) ^ 3)((a+b)^3 - (a - b)^3)

Let A = (a + b)
Let B = (a - b)

(A^3 + B^3)(A^3 - B^3)

idk where to go from here, lol

from there, you use sums and differences of cubes.

(A^3 + B^3)(A^3 - B^3)

http://www.purplemath.com/modules/specfact2.htm

X^3+ Y^3 = (x + y)(X^2 - XY + Y^2)
X^3 -Y^3 = (X - Y)(X^2 + XY + Y^2)