The given expression is
[tex]q^4+11q^3-(2q^2-5)(-3q)[/tex]We will start with the Multiplication
[tex](-3q)(2q^2-5)[/tex]We will multiply each term in the bracket by -3q
[tex](-3q)(2q^2)+(-3q)(-5)[/tex]We will multiply the numbers and add the power of q
[tex](-3\times2)(q^{1+2})=-6q^3[/tex][tex](-3\times-5)(q)=15q[/tex]Then the expression is
[tex]q^4+11q^3-(-6q^3+15q)[/tex]Now multiply the sign (-) by the bracket
[tex]q^4+11q^3+6q^3-15q[/tex]Add the like terms (terms of q^3
[tex]q^4+(11q^3+6q^3)-15q=q^4+17q^3-15q[/tex]