Simplify the expression: (4x² - 2x) + (3x² + 5x).

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Multiple Choice

Simplify the expression: (4x² - 2x) + (3x² + 5x).

Explanation:
To simplify the expression \( (4x^2 - 2x) + (3x^2 + 5x) \), start by combining like terms. First, identify the \( x^2 \) terms: - From the first part, you have \( 4x^2 \). - From the second part, you have \( 3x^2 \). When you add these together: \[ 4x^2 + 3x^2 = 7x^2. \] Next, look at the \( x \) terms: - From the first part, you have \( -2x \). - From the second part, you have \( 5x \). Adding these together: \[ -2x + 5x = 3x. \] Now, combine the results of both parts. The overall simplification leads to: \[ 7x^2 + 3x. \] This shows that the correct simplified expression is indeed \( 7x^2 + 3x \).

To simplify the expression ( (4x^2 - 2x) + (3x^2 + 5x) ), start by combining like terms.

First, identify the ( x^2 ) terms:

  • From the first part, you have ( 4x^2 ).

  • From the second part, you have ( 3x^2 ).

When you add these together:

[

4x^2 + 3x^2 = 7x^2.

]

Next, look at the ( x ) terms:

  • From the first part, you have ( -2x ).

  • From the second part, you have ( 5x ).

Adding these together:

[

-2x + 5x = 3x.

]

Now, combine the results of both parts. The overall simplification leads to:

[

7x^2 + 3x.

]

This shows that the correct simplified expression is indeed ( 7x^2 + 3x ).

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