Answer:
5c^2 - 26c - 24
Step-by-step explanation:
Use the distributive property:
1) (5c + 4)(c - 6)
=> 5c(c - 6) + 4(c - 6)
=> answer! :)
Answer:
5c^2 - 26c -24
Step-by-step explanation:
(5c + 4)(c - 6)
This is a double distribution problem. Unlike single distribution problems, where we would only have to distribute the one term on the outside of the parentheses to the terms on the inside of the parentheses, we would now have to distribute two terms from one parentheses to the other. It doesn't matter whether which parentheses we choose to distribute to the other.
So we will choose the first parentheses, (5c + 4) to distribute to (c - 6).
First, we will distribute (multiply) 5c to each terms to the terms in the other parentheses, which is c and -6.
5c times c is 5c^2
5c times -6 is -30c
Now we will do the same thing again, but this time, distributing 4.
4 * c = 4c
4 * -6 = -24
So we have:
5c^2 - 30c + 4c - 24
This can be simplified further by combining like terms. -30c and 4c are like terms can be combined.
-30c + 4c = -26c
So the final answer is:
5c^2 - 26c -24
