College

Which expression is equivalent to

[tex]\left(-11 x^2 + 1.4 x - 3\right) + \left(4 x^2 - 2.7 x + 8\right)[/tex]?

A. [tex]-7 x^2 - 1.3 x + 5[/tex]
B. [tex]-7 x^2 + 1.3 x + 5[/tex]
C. [tex]7 x^2 - 1.3 x + 5[/tex]
D. [tex]7 x^2 + 1.3 x + 5[/tex]

Answer :

To simplify the expression

[tex]$$
\left(-11x^2 + 1.4x - 3\right) + \left(4x^2 - 2.7x + 8\right),
$$[/tex]

we follow these steps:

1. Combine the quadratic terms:
[tex]$$
-11x^2 + 4x^2 = -7x^2.
$$[/tex]

2. Combine the linear terms:
[tex]$$
1.4x - 2.7x = -1.3x.
$$[/tex]

3. Combine the constant terms:
[tex]$$
-3 + 8 = 5.
$$[/tex]

Thus, the expression simplifies to

[tex]$$
-7x^2 - 1.3x + 5.
$$[/tex]

This corresponds to the answer that is equivalent to the original expression.

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