87.0k views
4 votes
Simplify the following expression. Write the resulting polynomial in descending order.

–2x(1–3x) + (2x + 3)(3x – 2)

User Iasonas
by
4.9k points

1 Answer

3 votes

Answer: 4x² + x - 2

Step-by-step explanation: First distribute the -2x into (1-3x) which = -2x + 6x²

Now let's work on the second part:

Distributing (2x + 3) to (3x - 2) = 6x² - 4x + 9x - 6. Combining like terms: 6x² - 4x + 9x - 6 --> 6x² + 5x - 6. Now let's combine the like factors of our two equations which equals

12x² + 3x - 6. Now reduce by dividing by 3 which gives us the final answer of:

4x² + x - 2.

User Dominic Scanlan
by
5.3k points