Respuesta :
Simplified: -15y⁴-33y³+3y²-24y
Factored: 3y (-5y³-11y²+y-8)
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]