Respuesta :
The given Polynomial is
[tex]x^3y^6 + 27z^{42}=(x y^2)^3 + (3 z ^{14})^3\\\\ (x y^2+ 3 z^{14})[(x y^2)^2 +(3 z^{14})^2-(xy^2)(3z^{14})]\\\\ (x y^2+ 3 z^{14})[x^2 y^4 +9 z^{28}-3 x y^2z^{14}][/tex]
We have used here the Identity to factorize the polynomial:
a³ + b³= (a+b)(a²+b² - ab)
The Option (D)[tex](xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9 z^{28}][/tex] is correct.
Answer:
D is the correct answer
Step-by-step explanation:
just did the question