x³-16x²+64x25(x-y)²-10(x-y)+1x⁴-y⁴5x³-10x²+5x(a+b)²-4(a+b-1)

x³-16x²+64x25(x-y)²-10(x-y)+1x⁴-y⁴5x³-10x²+5x(a+b)²-4(a+b-1)
x³-16x²+64x
25(x-y)²-10(x-y)+1
x⁴-y⁴
5x³-10x²+5x
(a+b)²-4(a+b-1)

x³-16x²+64x25(x-y)²-10(x-y)+1x⁴-y⁴5x³-10x²+5x(a+b)²-4(a+b-1)
x³-16x²+64x
=x(x²-16x+64)
=x(x-8)²
25(x-y)²-10(x-y)+1
=(5x-5y-1)²
x⁴-y⁴
=(x²+y²)(x²-y²)
=(x²+y²)(x-y)(x+y)
5x³-10x²+5x
=5x(x²-2x+1)
=5x(x-1)²
(a+b)²-4(a+b-1)
=(a+b)²-4(a+b)+4
=(a+b-2)²

x³-16x²+64x=x(x-8)²
25(x-y)²-10(x-y)+1=(5x-5y-1)²
x⁴-y⁴=(x²+y²)(x+y)(x-y)
5x³-10x²+5x=5x(x-1)²
(a+b)²-4(a+b-1)=(a+b-2)²