Can i combine the following? Explain why or why not.
5x+4x(squared)
7x(cubic)-2x+x(cubic)-5x
3xy+2y
5x + 4x^2 cannot be combined
7x^3 -2x +x^3 -5x = 8x^3 -7x (some terms were combined)
3xy +2y cannot be combined.
You can only combine terms that contain x and other variables raised to the same power(s). Constants can also be combined.
Thaank youuu :)
Yes, you can combine the given expressions. However, in order to combine them, we need to simplify each expression first.
1. **5x + 4x^2:**
To combine these terms, we look for any common factors. In this case, the only common factor is 'x'. So, we can rewrite the expression as: 5x + 4x * x. Applying the rule of exponents, adding the exponents when multiplying variables with the same base, we get: 5x + 4x^2.
2. **7x^3 - 2x + x^3 - 5x:**
To combine these terms, we group like terms together. In this case, we have two terms with x^3 and three terms with x. By rearranging the terms, we can rewrite the expression as: 7x^3 + x^3 - 2x - 5x. Now, combining like terms gives us: 8x^3 - 7x.
3. **3xy + 2y:**
This expression consists of two terms, one with xy and one with y. Since there are no common factors or like terms to combine, we leave it as it is.
Therefore, the combined expression is: 5x + 4x^2 + 8x^3 - 7x + 3xy + 2y.