1.
a)x(36x²-1)=x( 6x-1)(6x+1)
c)x( 4y²-9)=x(2y-3)(2y+3)
e) [ x²+1+x²-4x+1][x²+1-(x²-4x+1)]=(2x²-4x+2)(x²+1-x²+4x-1)=(2x²-4x+2)*(4x)=
2(x²-2x+1)*4x=8x(x²-2x+1)=8x(x-1)²
2
a) [(x-3) +(x+2)]²=(2x-1)²
c) (2x-y)²-z²= (2x-y-z) (2x-y+z)
e) a⁴-2a³+2a²-2a+1=
a^4+2a²+1-2a³-2a=
(a²+1)²-2a(a²+1)=(a²+1)(a²+1-2a)= (a²+1) (a-1)²