Question

№1. Представь в виде многочлена a) (3x-2)2 b) (x + 2)3​

Answer 1

a) (3x-2)2 = (3x-2)(3x-2) = 9x^2 - 12x + 4

b) (x + 2)3 = (x + 2)(x + 2)(x + 2) = (x^2 + 4x + 4)(x + 2) = x^3 + 6x^2 + 12x + 8

Answer 2

$(3x - 2) {}^{2} = (3x) {}^{2} - 2 \times 3x \times 2 + 2 {}^{2} = 9 {x}^{2} - 12x + 4$

$(x + 2) {}^{3} = x {}^{3} + 3 {x}^{2} \times 2 + 3x \times 2 {}^{2} + 2 {}^{3} = {x}^{3} + 6 {x}^{2} + 12x + 8$