1) (2a-3)3 = (2a-3)(2a-3)(2a-3)= (2a)(2a)(2a) + (2a)(2a)(-3) + (2a)(-3)(2a) + (-3)(-3)(2a) + (-3)(-3)(-3)= 8a^3 - 12a^2 - 12a^2 + 18a + 18a - 27= 8a^3 - 24a^2 + 36a - 27
2) (x+3)4 = (x+3)(x+3)(x+3)(x+3)= (x)(x)(x)(x) + (x)(x)(x)(3) + (x)(x)(3)(x) + (x)(x)(3)(3) + (x)(3)(x)(x) + (x)(3)(x)(3) + (x)(3)(3)(x) + (x)(3)(3)(3) + (3)(x)(x)(x) + (3)(x)(x)(3) + (3)(x)(3)(x) + (3)(x)(3)(3) + (3)(3)(x)(x) + (3)(3)(x)(3) + (3)(3)(3)(x) + (3)(3)(3)(3)= x^4 + 3x^3 + 3x^3 + 9x^2 + 3x^3 + 9x^2 + 9x^2 + 27x + 3x^3 + 9x^2 + 9x^2 + 27x + 9x^2 + 27x + 27x + 81= x^4 + 4x^3 + 6x^2 + 36x + 81
1) (2a-3)3 = (2a-3)(2a-3)(2a-3)
= (2a)(2a)(2a) + (2a)(2a)(-3) + (2a)(-3)(2a) + (-3)(-3)(2a) + (-3)(-3)(-3)
= 8a^3 - 12a^2 - 12a^2 + 18a + 18a - 27
= 8a^3 - 24a^2 + 36a - 27
2) (x+3)4 = (x+3)(x+3)(x+3)(x+3)
= (x)(x)(x)(x) + (x)(x)(x)(3) + (x)(x)(3)(x) + (x)(x)(3)(3) + (x)(3)(x)(x) + (x)(3)(x)(3) + (x)(3)(3)(x) + (x)(3)(3)(3) + (3)(x)(x)(x) + (3)(x)(x)(3) + (3)(x)(3)(x) + (3)(x)(3)(3) + (3)(3)(x)(x) + (3)(3)(x)(3) + (3)(3)(3)(x) + (3)(3)(3)(3)
= x^4 + 3x^3 + 3x^3 + 9x^2 + 3x^3 + 9x^2 + 9x^2 + 27x + 3x^3 + 9x^2 + 9x^2 + 27x + 9x^2 + 27x + 27x + 81
= x^4 + 4x^3 + 6x^2 + 36x + 81