i HAVE THE ANSWER OF 5M3 + 4N. hOW CAN i WRITE AN EXPRESSION THAT HAS FIVE TERMS AND SIMPLIFIES TO THIS ANSWER?
Well, just split things up till you have 5 terms instead of 2. You do know that terms are separated by + and - signs, right?
Here's one way, starting by splitting each of those two terms into two more:
5m^3 + 4n
= 2m^3 + 3m^3 + 2n + 2n
That's four terms so far. Now just split up one of those into two terms and you're done.
To write an expression that has five terms and simplifies to the answer 5m3 + 4n, you can break down this expression into terms and create different combinations. Here's one possible way to do it:
1. Start with the term 5m3. This is already one of the terms in the answer.
2. You can break down the term 4n as 2n + 2n. So, include these two additional terms.
3. Now, you need two more terms to have a total of five terms. You can use any combination of variables and coefficients as long as they simplify to zero when added to the existing terms.
- For example, you can use 3m2 - 3m2 as the fourth and fifth terms. When you combine these terms, you get zero.
- Another option could be 2p - 2p or q - q. Both these combinations simplify to zero as well.
Combining all these terms, the expression with five terms that simplifies to 5m3 + 4n is:
5m3 + 2n + 2n + 3m2 - 3m2
By grouping and combining like terms, you'll simplify this expression to 5m3 + 4n.