Answer :
By the distributive property of multiplication, we can say that:
[tex]a(b+c)=ab+ac[/tex]Then, we can rewrite the expression:
[tex]\begin{gathered} -5(-y^3+1-2x^2) \\ 5\cdot y^3-1\cdot5+5\cdot2x^2 \\ 5y^3-5+10x^2 \end{gathered}[/tex]By the distributive property of multiplication, we can say that:
[tex]a(b+c)=ab+ac[/tex]Then, we can rewrite the expression:
[tex]\begin{gathered} -5(-y^3+1-2x^2) \\ 5\cdot y^3-1\cdot5+5\cdot2x^2 \\ 5y^3-5+10x^2 \end{gathered}[/tex]