1) a2−9b2a^2 - 9b^2a2−9b2/a+3ba + 3ba+3b = (a−3b)(a+3b)(a - 3b)(a + 3b)(a−3b)(a+3b)/a+3ba + 3ba+3b = a - 3b
2) x3−8x^3 - 8x3−8/x−2x - 2x−2 = x−2x - 2x−2x2+2x+4x^2 + 2x + 4x2+2x+4/x−2x - 2x−2 = x^2 + 2x + 4
3) y−2xy - 2xy−2x/y2−4xy+4x2y^2 - 4xy + 4x^2y2−4xy+4x2 = y−2xy - 2xy−2x/(y−2x)(y−2x)(y - 2x)(y - 2x)(y−2x)(y−2x) = 1/y−2xy - 2xy−2x
4) a2+6a+9a^2 + 6a + 9a2+6a+9/a2−9a^2 - 9a2−9 = (a+3)(a+3)(a + 3)(a + 3)(a+3)(a+3)/(a+3)(a−3)(a + 3)(a - 3)(a+3)(a−3) = a+3a + 3a+3/a−3a - 3a−3
1) a2−9b2a^2 - 9b^2a2−9b2/a+3ba + 3ba+3b = (a−3b)(a+3b)(a - 3b)(a + 3b)(a−3b)(a+3b)/a+3ba + 3ba+3b = a - 3b
2) x3−8x^3 - 8x3−8/x−2x - 2x−2 = x−2x - 2x−2x2+2x+4x^2 + 2x + 4x2+2x+4/x−2x - 2x−2 = x^2 + 2x + 4
3) y−2xy - 2xy−2x/y2−4xy+4x2y^2 - 4xy + 4x^2y2−4xy+4x2 = y−2xy - 2xy−2x/(y−2x)(y−2x)(y - 2x)(y - 2x)(y−2x)(y−2x) = 1/y−2xy - 2xy−2x
4) a2+6a+9a^2 + 6a + 9a2+6a+9/a2−9a^2 - 9a2−9 = (a+3)(a+3)(a + 3)(a + 3)(a+3)(a+3)/(a+3)(a−3)(a + 3)(a - 3)(a+3)(a−3) = a+3a + 3a+3/a−3a - 3a−3