Answer
The statement is true.
Work Step by Step
To subtract the polynomials, distribute the minus over the parentheses.
Then gather like terms and add them.
$2x^{2}-8x+6-(x^{2}-3x+5)=2x^{2}-8x+6-x^{2}+3x-5$
$=(2x^{2}-x^{2})+(-8x+3x)+(6-5)$
$=x^{2}-5x+1$
The statement is true.
