Respuesta :

Simplified:  -15y⁴-33y³+3y²-24y

Factored: 3y (-5y³-11y²+y-8)

The given expression is 3y (-5y³-11y²+y-8)

We use distributive rule to distribute 3y to the terms -5y³-11y²+y-8.

The distributive rule states :To multiply a sum by a number, multiply each term of the sum.

This can be applied to multiply a monomial and polynomial.

The Distributive Property is an algebra property which is used to multiply a single term and two or more terms.In multiplication exponents are added.

3y (-5y³-11y²+y-8) =[tex] -15y^{4} -33y^{3} +3y^{2} -24y [/tex]