Question

1.Разложите на множетили: 1) y³-2y²+2y-1 2) (13m-9)²-(8m-7)² ​

Answer 1

$1) \\ y {}^{3} - 2y {}^{2} + 2y - 1 = (y - 1)(y {}^{2} + y + 1) - 2y(y - 1) = (y - 1)(y {}^{2} + y + 1 - 2y) = (y - 1)(y {}^{2} - y + 1) \\ \\ 2) (13m - 9) {}^{2} - (8m - 7) {}^{2} = 169m {}^{2} - 234m + 81 - (64m {}^{2} - 112m + 49) = 169m {}^{2} - 234m + 81 - 64m {}^{2} + 112m - 49 = 105m {}^{2} - 122m + 32$