WEBVTT

1
00:00:00.000 --> 00:00:04.563
Here is the problem: 3(x plus 2) minus 2(x minus 1).

2
00:00:05.013 --> 00:00:07.939
Simplify the polynomial expression in x.

3
00:00:08.739 --> 00:00:09.935
Read the expression.

4
00:00:10.385 --> 00:00:19.673
Distribute (multiply out every product). Each term in one factor multiplies each term in the other: a(b plus c) equals ab plus ac.

5
00:00:20.123 --> 00:00:22.027
Result after multiplying out.

6
00:00:22.477 --> 00:00:34.598
Combine like terms. x: 3 minus 2 equals 1; constants: 6 plus 2 equals 8. Like terms have identical variables and exponents, so only their coefficients are added.

7
00:00:35.398 --> 00:00:40.065
Write the result in standard form. Terms are ordered by descending total degree.

8
00:00:40.865 --> 00:00:43.129
So the answer is x plus 8.

9
00:00:43.579 --> 00:00:51.497
After expanding and combining like terms the expression is x plus 8, a polynomial of degree 1 with 2 terms.

10
00:00:52.297 --> 00:01:01.144
Spot check at x equals 0.73: original 8.73, simplified 8.73, which checks out.