Answer
$21x^{5}y^{4}-35x^2y^3-7xy^2$
Work Step by Step
Given:$(7xy^2)(3x^4y^2-5xy-1)$
Multiply the given polynomials.
This implies
$(7xy^2)(3x^4y^2-5xy-1)=21x^{4+1}y^{2+2}-35x^2y^3-7xy^2$
Hence, the result is : $=21x^{5}y^{4}-35x^2y^3-7xy^2$