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Answer :

Given the expression:

[tex](7xy^2)(y^2-4z)[/tex]

Let's simplify the expression.

Apply distributive property:

[tex]y^2(7xy^2)-4z(7xy^2)[/tex]

Solving further:

[tex]\begin{gathered} 7x(y^2y^2)-(4*7)xy^2z \\ \\ 7x(y^{2+2})-28xy^2z \\ \\ 7xy^4-28xy^2z \end{gathered}[/tex]

Therefore, the simplified expression is:

[tex]7xy^4-28xy^2z[/tex]

ANSWER:

[tex]7xy^4-28xy^2z[/tex]