1) x^3-1 = (x-1)(x^2+x+1)2) 27+a^3 = (3+a)(9-3a+a^2)3) 216-y^3 = (6-y)(36+6y+y^2)4) 1/8a^3+b = (1/2a+b)(1/4a^2-1/2ab+b)5) a^6-8 = (a^3-2)(a^3+2)6) a^3b^3-c^3 = (ab-c)(a^2b^2+abc+c^2)7) a^-b^15c^18 = (a-b^5c^6)(a+b^5c^6)8) 125c^3d^3+0.008b^3 = (5cd+0.2b)(25c^2d^2-1.6b^2)
1) (x-2)(x^2+2x+4) = x^3+2x^2+4x-2x^2-4x-8 = x^3+42) (2a+3b)(4a^2-6ab+9b^2) = 8a^2-12ab+18b^2+12a^3-18a^2b+27ab^2
1) x^3-1 = (x-1)(x^2+x+1)
2) 27+a^3 = (3+a)(9-3a+a^2)
3) 216-y^3 = (6-y)(36+6y+y^2)
4) 1/8a^3+b = (1/2a+b)(1/4a^2-1/2ab+b)
5) a^6-8 = (a^3-2)(a^3+2)
6) a^3b^3-c^3 = (ab-c)(a^2b^2+abc+c^2)
7) a^-b^15c^18 = (a-b^5c^6)(a+b^5c^6)
8) 125c^3d^3+0.008b^3 = (5cd+0.2b)(25c^2d^2-1.6b^2)
1) (x-2)(x^2+2x+4) = x^3+2x^2+4x-2x^2-4x-8 = x^3+4
2) (2a+3b)(4a^2-6ab+9b^2) = 8a^2-12ab+18b^2+12a^3-18a^2b+27ab^2