Question

WILL GIVE A BRAINLEST AND 50PTS FOR CORRECT ANSWER THANXS!!!!!!!!!!!!!!!!!!!

Answer 1

The given Polynomial is

$x^3y^6 + 27z^{42}=(x y^2)^3 + (3 z ^{14})^3\\\\ (x y^2+ 3 z^{14})[(x y^2)^2 +(3 z^{14})^2-(xy^2)(3z^{14})]\\\\ (x y^2+ 3 z^{14})[x^2 y^4 +9 z^{28}-3 x y^2z^{14}]$

We have used here the Identity to factorize the polynomial:

a³ + b³= (a+b)(a²+b² - ab)

The Option (D)$(xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9 z^{28}]$ is correct.

Answer 2

D. (xy2 + 3z14)(x2y4 – 3xy2z14 + 9z28