Question

Запишите в виде многочлена a) (2x+y)(2x-y) b)(y-2)^3. c) (c+2)(c^2-2c+4) d) (7y-6)^2

Answer 1

$(2x + y)(2x - y) = (2x) {}^{2} - y {}^{2} = 4x {}^{2} - y {}^{2} \\ (y - 2) {}^{3} = y {}^{3} - 3y {}^{2} \times 2 + 3y \times 2 {}^{2} - 2 {}^{3} = y {}^{3} - 6y {}^{2} + 3y \times 4 - 8 = y {}^{3} - 6y {}^{2} + 12y - 8 \\ (c + 2)(c {}^{2} - 2c + 4) = c {}^{3} + 8 \\ (7y - 6) {}^{2} = (7y) {}^{2} - 2 \times 7y \times 6 + 6 {}^{2} = 49y {}^{2} - 84y + 36$