Answer: [tex]w^2-22w+19[/tex]
Step-by-step explanation:
[tex]X=7w+4w-6\\Y=w^2-11w+13\\[/tex]
[tex](7w+4w-6)-(w^2-11w+13)\\7w+4w-6-w^2+11w-13\\(7w+4w+11w)+(-6-13)-w^2\\22w-19-w^2\\-w^2+22w-19[/tex]
Normally we wouldn't have our square variable be negative, so in order to get rid of that negative sign without changing the equation is by multiplying by -1
[tex]-1(-w^2+22w-19)\\=w^2-22w+19[/tex]