156k views
5 votes
If c = -2x2+ 3x and D = 4 - 3x then 2c - 3d is

1 Answer

7 votes

Final answer:

2c - 3D, with c = -2x^2 + 3x and D = 4 - 3x, results in the expression -4x^2 + 15x - 12.

Step-by-step explanation:

The student asked for the expression 2c - 3D when c = -2x^2 + 3x and D = 4 - 3x. First, we need to multiply c by 2 and D by 3 and then subtract the latter from the former.

Firstly, calculate 2c: 2(-2x^2 + 3x) = -4x^2 + 6x.

Then, calculate 3D: 3(4 - 3x) = 12 - 9x.

Next, subtract 3D from 2c: (-4x^2 + 6x) - (12 - 9x) = -4x^2 + 6x - 12 + 9x.

Combine like terms: -4x^2 + 15x - 12.

The resulting expression for 2c - 3D is -4x^2 + 15x - 12.

User Lindz
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories