Simplify the expression 4(x^2 - 2).

Understand the Problem

The question is asking to simplify the expression 4(x^2 - 2) by distributing the 4 across the terms inside the parentheses.

Answer

$4x^2 - 8$
Answer for screen readers

$4x^2 - 8$

Steps to Solve

  1. Distribute the 4 to $x^2$

Multiply 4 by $x^2$:

$4 * x^2 = 4x^2$

  1. Distribute the 4 to -2

Multiply 4 by -2:

$4 * -2 = -8$

  1. Combine the terms

Combine the results from the previous steps:

$4x^2 - 8$

$4x^2 - 8$

More Information

The simplified expression is a quadratic expression.

Tips

A common mistake is not correctly distributing the 4 to both terms inside the parentheses. For example, some might only multiply 4 by $x^2$ and forget to multiply it by -2. Another mistake could be making an arithmetic error when multiplying 4 by -2.

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