a) 5x+10= 5(x+2)
b) 16x²-9= (4x+3)(4x-3)
c) x²-10x+25= (x-5)²
d) (3x+1)(x-2)-(3x+1)(x+2)=
=(3x+1)(3x+1)-(x-2)(x+2)
=9x²+1-x²-4
=x²(9+1-1-4)
=x²(9+1-3)
=x²(10-3)
=x²×7
=7x³
e)(x-y)²-16x²+8x-1=
=x²+y²-2xy-16x²+8x-1
=x(x+y²-2y-16x+8-1)
f) (x+3)²-(x-5)²=
=x²+9+6x-x²+25-10x
=x(x+9+6-x+25-10)
=x(x+14-x+25-10)
=x(x+39-x-10)
=x(x+29-x)
=29x
