Question

Simplify the following expression. −4x ( 6x−4) + 5x − (12−14x²) − 4 x ( 6 x − 4 ) + 5 x − ( 12 − 14 x² )

Answer 1

To simplify the given expression, distribute the terms and combine like terms, resulting in a simplified expression of -10x² + 21x - 12.

Step-by-step explanation:

To simplify the expression −4x(6x−4) + 5x − (12−14x²), we need to distribute and combine like terms. Start by expanding the terms within the parentheses:

• -4x(6x) = -24x²
• -4x(-4) = +16x
• 5x is already simplified and remains as it is
• Distribute the negative sign in front of the parenthesis (-): -12 + 14x²

So, the expression becomes:

-24x² + 16x + 5x - 12 + 14x²

Now, combine like terms:

• Combine the x² terms: -24x² + 14x² = -10x²
• Combine the x terms: 16x + 5x = 21x
• The constant term -12 remains as it is

The simplified expression is -10x² + 21x - 12.

Always remember to eliminate terms wherever possible to simplify the algebra and check the answer to ensure it is reasonable.