(2x-1)(x+5)(3x-2) expanded and simplified
1 answer:
To simplify, we can use the FOIL method. That stands for first, outer, inner, last. What we do is take two factors at a time and multiply the first terms by each other, the outer terms together, etc. Let's start with (2x-1) and (x+5) First: 2x * x = 2x^2 Outer: 2x * 5 = 10x Inner: -1 * x = -x Last: -1 * 5 = -5 2x^2 + 9x - 5 Now FOIL this result with (3x - 2) 6x^3 - 4x^2 + 27x^2 - 18x - 15x + 10 Simplify: 6x^3 - 23x^2 - 33x + 10
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The graph is connected because every two vertices of the graph are connected by a path.
The graph has 10 vertices , as can be seen in the next picture:
The graph has 9 edges, as can be seen in the next picture: