Question

Помогите пожалуйста(75баллов)
(Задание прикреплено) ​

Answer 1

$displaystyle 3.\\1). 7m-n+49m^{2}-n^{2} = 7m-n+(7m-n)(7m+n)=\\{} (7m-n)(7m+n+1);\\2). 4x^{2}-4xy+y^{2}-16=(2x-y)^{2}-16=(2x-y-4)(2x-y+4);\\3). xy^{4}-2y^{4}-xy+2y=y^{4}(x-2)-y(x-2)=y(y^{3}-1)(x-2)=\\{} y(y-1)(y^{2}+y+1)(x-2);\\4). 9-x^{2}-2xy-y^{2}=9-(x+y)^{2}=(3-x-y)(3+x+y)=\\{} =-(x+y-3)(x+y+3);$

$displaystyle 4.\\1). 5x^{3}-5x=0\\{} 5x(x-1)(x+1)=0\\{} x_{1}=0 x_{2}=1 x_{3}=-1\\2). 64x^{3}-16x^{2}+x=0\\{} x((8x)^{2}-16x+1)=0\\{} x(8x-1)^{2}=0\\{} x_{1}=0 x_{2}=frac{1}{8}\\3). x^{3}-3x^{2}-4x+12=0\\{} x^{2}(x-3)-4(x-3)=0\\{} (x-2)(x+2)(x-3)=0\\{} x_{1}=2 x_{2}=-2 x_{3}=3$