5.
[tex]a) \ w(x) = 6x^{5}-6x^{2} =6x^{2}(x^{3}-1) = 6x^{3}(x^{3}-1^{3}) = 6x^{3}(x-1)(x^{2}+x+1)[/tex]
[tex]b) \ w(x) = 2x^{6}-16x^{3} = 2x^{3}(x^{3}-8) = 2x^{3}(x^{3}-2^{3}) = 2x^{3}(x-2)(x^{2}+2x+4)[/tex]
[tex]b) \ x^{7}-64x^{4} = x^{4}(x^{3}-64) = x^{4}(x^{3}-4^{3}) = x^{4}(x-4)(x^{2}+4x+16)[/tex]
Wykorzystano wzór skróconego mnożenia:
a³ - b³ = (a - b)(a² + ab + b²)
