Answer: [tex]x^{2} -7x+10[/tex]
Explanation:
Get the result ⇒ [tex]f(x)-g(x)=(x^{2} -6x+8)-(x-2)[/tex]
Remove the parentheses ⇒ [tex]x^{2} -6x+8-x+2[/tex]
Reorder and gather like terms ⇒ [tex]x^{2} +(-6x-x)(8+2)[/tex]
Collect the coefficients for the like terms ⇒ [tex]x^{2} +(-6-1)*x+(8+2)[/tex]
Calculate the sum or difference ⇒ [tex]x^{2} -7x+(8+2)[/tex]
Calculate the sum or difference ⇒ [tex]x^{2} -7x+10[/tex]
Convert to required form ⇒ [tex]x^{2} -7x+10[/tex]
Answer ⇒ [tex]x^{2} -7x+10[/tex]
