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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+7 x+13[/tex]
B. [tex]x^2+11 x+1[/tex]
C. [tex]x^2+7 x+5[/tex]
D. [tex]7 x^2+7 x+5[/tex]

Answer :

Let's simplify the expression [tex]\((-3x^2 + 2x - 4) + (4x^2 + 5x + 9)\)[/tex].

1. Combine like terms:

- Terms with [tex]\(x^2\)[/tex]:
[tex]\(-3x^2 + 4x^2 = 1x^2\)[/tex] or simply [tex]\(x^2\)[/tex].

- Terms with [tex]\(x\)[/tex]:
[tex]\(2x + 5x = 7x\)[/tex].

- Constant terms:
[tex]\(-4 + 9 = 5\)[/tex].

2. Rewrite the expression:

After combining like terms, the simplified expression is:
[tex]\[ x^2 + 7x + 5 \][/tex]

Therefore, the simplified form of the expression is [tex]\(x^2 + 7x + 5\)[/tex]. So the correct answer is:

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

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