Which expression is equivalent to `5x^{2}+3x-2x^{2}+4x?`
The expression can be simplified by combining the like terms:
5x^{2} + 3x - 2x^{2} + 4x
= (5x^{2} - 2x^{2}) + (3x + 4x)
= 3x^{2} + 7x
Therefore, the equivalent expression is `3x^{2} + 7x`.
To simplify the given expression, we can combine like terms.
Starting with the terms involving x^2:
5x^2 - 2x^2 = 3x^2
Next, the terms involving x:
3x + 4x = 7x
Therefore, the expression 5x^2 + 3x - 2x^2 + 4x simplifies to:
3x^2 + 7x
To simplify the given expression, you need to combine like terms. Like terms are terms that have the same variable and the same exponent.
Let's simplify step by step:
Step 1: Combine the like terms that contain x^2.
- You have 5x^2 and -2x^2. To combine these, you need to subtract the coefficients (numbers in front) of these terms. 5x^2 - 2x^2 = 3x^2.
The simplified expression now becomes 3x^2 + 3x + 4x.
Step 2: Combine the like terms that contain x.
- You have 3x and 4x. To combine these, you need to add the coefficients. 3x + 4x = 7x.
The final simplified expression is 3x^2 + 7x.
Therefore, the expression equivalent to 5x^2 + 3x - 2x^2 + 4x is 3x^2 + 7x.