Question

Lorne subtracted 6x3 – 2x + 3 from –3x3 + 5x2 + 4x – 7. Use the drop-down menus to identify the steps Lorne used to find the difference.
1. (–3x3 + 5x2 + 4x – 7) + (–6x3 + 2x – 3)
2. (–3x3) + 5x2 + 4x + (–7) + (–6x3) + 2x + (–3)
3. [(–3x3) + (–6x3)] + [4x + 2x] + [(–7) + (–3)] + [5x2]
4. –9x3 + 6x + (–10) + 5x2
5. –9x3 + 5x2 + 6x – 10 ​

Answer 1

Answer:

1. (–3x3 + 5x2 + 4x – 7) + (–6x3 + 2x – 3)

✔ wrote as addition of the additive inverse

2. (–3x3) + 5x2 + 4x + (–7) + (–6x3) + 2x + (–3)

✔ wrote terms as addition of opposite

3. [(–3x3) + (–6x3)] + [4x + 2x] + [(–7) + (–3)] + [5x2]

✔ grouped like terms

4. –9x3 + 6x + (–10) + 5x2

✔ combined like terms

5. –9x3 + 5x2 + 6x – 10

Step-by-step explanation:

Edge

Answer 2

Option 3

Rewrite the second equation and subtract the first. This is like changing the sign on every term of the first equation