Chapter 4 - Polynomials - 4.7 Polynomials in Several Variables - 4.7 Exercise Set - Page 285: 87

$6$

Using order of operations, the given expression, $ 2[3-4(5-6)^2-1]+10 ,$ simplifies to \begin{array}{l}\require{cancel} 2[3-4(-1)^2-1]+10 \\\\= 2[3-4(1)-1]+10 \\\\= 2[3-4-1]+10 \\\\= 2[-1-1]+10 \\\\= 2[-2]+10 \\\\= -4+10 \\\\= 6 .\end{array}