3. Combine terms: 12a + 26b -4b – 16a.
(a) 4a + 22b,
(b) -28a + 30b,
(c) -4a + 22b,
(d) 28a + 30b.
The correct answer is (c) -4a + 22b.
To combine the terms 12a, 26b, -4b, and -16a, we need to group the like terms together and then simplify.
Starting with the given terms:
12a + 26b - 4b - 16a
First, we group the "a" terms together and the "b" terms together:
(12a - 16a) + (26b - 4b)
Now, we simplify each group:
12a - 16a = -4a
26b - 4b = 22b
Putting the simplified groups back together, we get:
-4a + 22b
Therefore, the answer is (c) -4a + 22b.
To combine the terms 12a + 26b -4b - 16a, we group the like terms together:
12a - 16a + 26b - 4b
Now, we can combine the variable terms and the constant terms separately:
For the variable terms:
12a - 16a = -4a
For the constant terms:
26b - 4b = 22b
Therefore, the combined expression is:
-4a + 22b
So, the correct answer is (c) -4a + 22b.