Answer:
x^2-4x+6
Step-by-step explanation:
[tex](4x^2 -5x +1) +(-3x^2 +x+5)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=4x^2-5x+1-3x^2+x+5\\\\\mathrm{Group\:like\:terms}\\=4x^2-3x^2-5x+x+1+5\\\\\mathrm{Add\:similar\:elements:}\:4x^2-3x^2=x^2\\=x^2-5x+x+1+5\\\\\mathrm{Add\:similar\:elements:}\:-5x+x=-4x\\=x^2-4x+1+5\\\\\mathrm{Add\:the\:numbers:}\:1+5=6\\=x^2-4x+6[/tex]
