Given:
The steps of simplification of the expression.
[tex]4-3x^2+2x-x^2+3+x^2[/tex]
To find:
The properties to justify the line 2 and line 3.
Solution:
We have,
[tex]4-3x^2+2x-x^2+3+x^2[/tex]
Line 1: [tex]4+3-x^2+x^2-3x^2+2x[/tex] (Rearranging the terms)
Line 2: [tex]7-x^2+x^2-3x^2+2x[/tex] (Combining the constant terms)
Line 3: [tex]7+0-3x^2+2x[/tex] (Additive inverse property)
Line 4: [tex]7-3x^2+2x[/tex] (Additive identity property)
Therefore, the justifications of Line 2 and Line 3 are combining the constant terms and additive inverse property respectively.
