Вправи: 74

74. Спростіть вираз:

1) x2- 16x(x-7)4 + 2x+49(7-x)4 = x2- 16x(x-7)4 + 2x+49(-(x-7))4 = x2- 16x(x-7)4 + 2x+49(x-7)4 = x2- 16x+2x+49(x-7)4 = x2- 14x+49(x-7)4 = (x-7)2(x-7)4 = 1(x-7)2;

2) y2+ yy-6(y+2) + y+366-y(2+y) = y2+ yy-6(y+2) + y+36-y-6(y+2) = y2+ yy-6(y+2) – y+36y-6(y+2) = y2+ y- (y+36)y-6(y+2) = y2+ y-y-36y-6(y+2) = y2- 36y-6(y+2) = y-6(y+6)y-6(y+2) = y+6y+2.