(1) (a+4)3=a3+12a2+48a+64(a + 4)^3 = a^3 + 12a^2 + 48a + 64(a+4)3=a3+12a2+48a+64 (2) (3x−y)3=27x3−27x2y+9xy2−y3(3x - y)^3 = 27x^3 - 27x^2y + 9xy^2 - y^3(3x−y)3=27x3−27x2y+9xy2−y3 (3) (2s−3t)3=8s3−36s2t+54st2−27t3(2s - 3t)^3 = 8s^3 - 36s^2t + 54st^2 - 27t^3(2s−3t)3=8s3−36s2t+54st2−27t3 (4) (3a−13)3=27a3−9a2+a−127\left(3a - \frac{1}{3}\right)^3 = 27a^3 - 9a^2 + a - \frac{1}{27}(3a−31)3=27a3−9a2+a−271 (5) (a+2b)(a2−2ab+4b2)=a3+8b3(a + 2b)(a^2 - 2ab + 4b^2) = a^3 + 8b^3(a+2b)(a2−2ab+4b2)=a3+8b3 (6) (12x−2y)(x24+xy+4y2)=18x3−8y3\left(\frac{1}{2}x - 2y\right)\left(\frac{x^2}{4} + xy + 4y^2\right) = \frac{1}{8}x^3 - 8y^3(21x−2y)(4x2+xy+4y2)=81x3−8y3