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Simplify [tex]\left(5 x^2+3 x\right)-\left(8 x-2 x^2+7\right)[/tex].

A. [tex]3 x^2-5 x-7[/tex]
B. [tex]7 x^2-5 x-7[/tex]
C. [tex]3 x^2+5 x+7[/tex]
D. [tex]9 x^3[/tex]

Answer :

To simplify the expression

[tex]$$
\left(5x^2 + 3x\right) - \left(8x - 2x^2 + 7\right),
$$[/tex]

follow these steps:

1. Remove the Parentheses:
Distribute the negative sign across the terms in the second group:

[tex]$$
5x^2 + 3x - 8x + 2x^2 - 7.
$$[/tex]

2. Combine Like Terms:
- For the [tex]\(x^2\)[/tex] terms:
[tex]$$5x^2 + 2x^2 = 7x^2.$$[/tex]
- For the [tex]\(x\)[/tex] terms:
[tex]$$3x - 8x = -5x.$$[/tex]
- The constant term remains:
[tex]$$-7.$$[/tex]

3. Write the Final Expression:
Putting everything together, we have:

[tex]$$
7x^2 - 5x - 7.
$$[/tex]

Thus, the simplified expression is

[tex]$$7x^2 - 5x - 7.$$[/tex]

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