Questions: Add. 4 x^2 - 5 x + (3 x^2 + 3 x) The answer is □ (Simplify your answer.)

Add.
4 x^2 - 5 x
+ (3 x^2 + 3 x)

The answer is □
(Simplify your answer.)
Transcript text: Add. \[ \begin{array}{r} 4 x^{2}-5 x \\ +\left(3 x^{2}+3 x\right) \\ \hline \end{array} \] The answer is $\square$ (Simplify your answer.)
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Solution

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Solution Steps

To add the given polynomials, combine like terms. This involves adding the coefficients of the x2x^2 terms together and the coefficients of the xx terms together.

Step 1: Combine Like Terms

To add the polynomials 4x25x4x^2 - 5x and 3x2+3x3x^2 + 3x, we first identify and combine the coefficients of like terms.

The x2x^2 terms are: 4+3=7 4 + 3 = 7

The xx terms are: 5+3=2 -5 + 3 = -2

Step 2: Construct the Simplified Polynomial

After combining the like terms, we can express the resulting polynomial as: 7x22x 7x^2 - 2x

Final Answer

The simplified result of the addition is 7x22x\boxed{7x^2 - 2x}.

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