The factors of 50a³ are 1, 2, 5, 10, 25, 50,
and their products with a, a² and a³ .
The factors of 10a² are 1, 2, 5, 10,
and their products with 'a' and a² .
Their common factors are 1, 2, 5, 10,
and their products with 'a' and a².
Their greatest common factor is 10a² .
(Another way to spot it, easily, is to remember this helpful factoid:
If the smaller number is a factor of the larger number,
then the smaller number is their greatest common factor.
Using the greatest common factor, then . . .
50a³ + 10a² = 10a²(5a + 1) .
I'm not completely sure, but this should be exponential growth.
If so, the equation for exponential growth is: y = a(1 + r)^t
If I substitute them with the information you gave me, then is would look like this:
y = 281.4(1 + 0.02)^t
**t = is the number of years after 2000 (based on your question)**
Finished!
Answer:
You said never mind, but I really like your username :)
Step-by-step explanation:
Use Pascal's Triangle
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1 9 36 84 126 126 84 36 9 1 (this is the row you use)
So, the seventh term of (3x + 2y)^9 will be 84xy
