Which expressions are equivalent to the given expression? Select two options.
(- 2.4a - 1.8b) - (- 3.8a - 4.4b) + (2a + 3b)
A. 3.4b - 3.2a
B. 3.4a - 3.2b
C. 5.6b + 3.4a
D. 3.2b + 3.4a
E. 3.4a + 5.6b
The given expression simplifies to:
(-2.4a - 1.8b) - (-3.8a - 4.4b) + (2a + 3b) = -2.4a - 1.8b + 3.8a + 4.4b + 2a + 3b
Combining like terms, we get:
-2.4a + 3.8a + 2a - 1.8b + 4.4b + 3b = 3.4a + 3.2b
The two options that are equivalent to this expression are:
A. 3.4b - 3.2a
D. 3.2b + 3.4a
So the correct options are A and D.