Question 14

-4x - 3

The expression simplifies to -4x - 3, which is obtained by combining like terms from the given expression.

A) -4x² - 3

This option is incorrect because the original expression does not contain any x² terms. Therefore, the simplification cannot result in a quadratic term.

B) -4x - 3

This option is correct as it accurately reflects the simplification of the expression. By combining the x terms (3x and -7x) and the constant terms (-5 and +2), the result is -4x - 3.

C) 28

This option is incorrect because the expression involves linear terms and constants, and cannot simplify to a positive constant like 28.

D) -4x² - 10

This option is incorrect because, like option A, it introduces a quadratic term that does not exist in the original expression. The correct simplification involves only linear and constant terms.

Conclusion

The correct answer, -4x - 3, arises from accurately combining like terms, demonstrating a clear understanding of algebraic simplification. All other options fail because they either introduce incorrect terms or do not represent the result of the simplification accurately.