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What property justifies line 2 to line 3? 4 – 3x2 + 2x – x2 + 3 + x2 Line 1 4 + 3– x2 + x2 – 3x2 + 2x Line 2 7– x2 + x2 – 3x2 + 2x Line 3 7 + 0 – 3x2 + 2x Line 4 7 – 3x2 + 2x

1 Answer

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Given:

The steps of simplification of the expression.


4-3x^2+2x-x^2+3+x^2

To find:

The properties to justify the line 2 and line 3.

Solution:

We have,


4-3x^2+2x-x^2+3+x^2

Line 1:
4+3-x^2+x^2-3x^2+2x (Rearranging the terms)

Line 2:
7-x^2+x^2-3x^2+2x (Combining the constant terms)

Line 3:
7+0-3x^2+2x (Additive inverse property)

Line 4:
7-3x^2+2x (Additive identity property)

Therefore, the justifications of Line 2 and Line 3 are combining the constant terms and additive inverse property respectively.

User MiJyn
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