High School

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Select the correct answer.

What is the simplified form of this expression?

[tex]\left(-3 x^2+2 x-4\right)+\left(4 x^2+5 x+9\right)[/tex]

A. [tex]x^2+11 x+1[/tex]

B. [tex]x^2+7 x+5[/tex]

C. [tex]x^2+7 x+13[/tex]

D. [tex]7 x^2+7 x+5[/tex]

Answer :

Sure, let's simplify the given expression step-by-step. The expression we need to simplify is:

[tex]\[ \left(-3x^2 + 2x - 4\right) + \left(4x^2 + 5x + 9\right) \][/tex]

1. Combine the [tex]\( x^2 \)[/tex] terms:
[tex]\[
-3x^2 + 4x^2 = 1x^2
\][/tex]

2. Combine the [tex]\( x \)[/tex] terms:
[tex]\[
2x + 5x = 7x
\][/tex]

3. Combine the constant terms:
[tex]\[
-4 + 9 = 5
\][/tex]

Putting it all together, the simplified form of the expression is:

[tex]\[ x^2 + 7x + 5 \][/tex]

So, the correct answer is:

[tex]\[ x^2 + 7x + 5 \][/tex]

This matches the option:
[tex]\[ x^2 + 7x + 5 \][/tex]

So, the correct answer is: [tex]\( x^2 + 7x + 5 \)[/tex]

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