It is required to simplify the expression.
Consider the given expression,
[tex](x^2+3x-6)(4x^2+7x-10)+x(2x+9)-3(x^2-1)[/tex]
Solve the brackets as,
[tex]4x^4+7x^3-10x^2+12x^3+21x^2-30x-24x^2-42x+60+2x^2+9x-3x^2+3[/tex]
Add the like terms,
[tex]4x^4+19x^3-14x^2-63x+63[/tex]
Thus, the simplified expression is obtained.
