what is the simplelest form of the following expression? 6c^2+2.5d-d+2c^2-3d a) 4c^2-1.5d b)6c^2+0.5d c)8c^2-1.5d d)8c^2+1.5d
6c^2 + 2.5d - d + 2c^2 - 3d combine like terms 6c^2 + 2c^2 = 8c^2 2.5d - 1d - 3d = 2.5d - 4d = - 1.5d now put them together 8c^2 - 1.5d any questions ?
Answer:
The correct option is c.
Step-by-step explanation:
The given expression is
\(6c^2+2.5d-d+2c^2-3d\)
Like terms are those terms which have same variable having same degree.
On combining like terms we get
\((6c^2+2c^2)+(2.5d-d-3d)\)
On simplification we get
\((8c^2)+(-1.5d)\)
\(8c^2-1.5d\)
The simplest form of given expression is \(8c^2-1.5d\).
Therefore the correct option is c.