What is the simplified form of the following expression 6c2+2.5d-d+2c2-3d
The simplified form of the expression is 8c^2 - 1.5d - d.
To simplify the expression 6c^2 + 2.5d - d + 2c^2 - 3d, we can combine like terms:
The terms containing c^2 are 6c^2 + 2c^2, which can be combined to give 8c^2.
The terms containing d are 2.5d - d - 3d, which can be combined to give -1.5d.
Therefore, the simplified form of the expression is 8c^2 - 1.5d.
To simplify the expression 6c^2 + 2.5d - d + 2c^2 - 3d, we can combine like terms. Like terms have the same variables raised to the same exponent.
Step 1: Combine the like terms with the variable c.
The terms 6c^2 and 2c^2 have the same variable c raised to the same exponent, so we can add the coefficients together.
6c^2 + 2c^2 = 8c^2
Step 2: Combine the like terms with the variable d.
The terms 2.5d, -d, and -3d have the same variable d, so we can add the coefficients together.
2.5d - d - 3d = -0.5d
Step 3: Put the simplified terms together.
Now, we can put the simplified terms from Step 1 and Step 2 together to get the final simplified form of the expression:
8c^2 - 0.5d
Therefore, the simplified form of the expression 6c^2 + 2.5d - d + 2c^2 - 3d is 8c^2 - 0.5d.