What is the simplified form of the following expression? 6c2 + 2.5d – d + 2c2 – 3d (1 point) Responses 4c2 – 1.5d 4 c 2 – 1.5 d 6c2 + 0.5d 6 c 2 + 0.5 d 8c2 – 1.5d 8 c 2 – 1.5 d 8c2 + 1.5d
The simplified form of the expression 6c2 + 2.5d – d + 2c2 – 3d is 8c2 – 1.5d.
To simplify the expression 6c^2 + 2.5d - d + 2c^2 - 3d, let's combine like terms:
First, we have the terms 6c^2 and 2c^2, which have the same variable raised to the same exponent. To combine these terms, we simply add their coefficients: 6c^2 + 2c^2 = 8c^2.
Next, we have the terms 2.5d, -d, and -3d. To combine these terms, we add their coefficients: 2.5d - d - 3d = 2.5d - 4d = -1.5d.
Putting it all together, the simplified form of the expression is: 8c^2 - 1.5d.
To simplify the given expression 6c^2 + 2.5d - d + 2c^2 - 3d, you need to combine like terms. Like terms are terms with the same variables raised to the same powers.
First, combine the terms with the variable "c^2". The terms 6c^2 and 2c^2 can be added together to get 8c^2.
Next, combine the terms with the variable "d". The terms 2.5d, -d, and -3d can be added together to get -1.5d.
After combining like terms, the simplified form of the expression is 8c^2 - 1.5d.
Therefore, the correct answer is: 8c^2 - 1.5d.