Question

( 4x² - 5x + 1) + (-3x² + x +5)

Answer 1

Explanation:

4x^2 - 3x^2 - 5x + x + 1 + 5

x^2 - 4x + 6

Answer 2

x^2-4x+6

Explanation:

`(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`