Simplify the expression 2(x + 7)(x2 − 3x − 6). 2x3 − 28x2 − 18x − 84 2x3 − 18x2 − 28x − 84 2x3 + 8x2 − 54x − 84 2x3 + 4x2 − 27x − 42

The answer is C, 2x^3 + 8x^2 - 54x - 84. (I took a test and got this correct)

Step-by-step explanation:

Distribute the 2 to the numbers in parenthesis.

The equation should now look like this.

(2x + 14)(x^2 - 3x - 6)

Multiply the right side by the left side, here are the results I got.

2x * x^2 = 2x^3

2x * -3x = -6x^2

2x * -6 = -12x

14 * x^2 = 14x^2

14 * -3x = -42x

14 * -6 = -84.

Now assemble the new equation.

2x^3 - 6x^2 + 14x^2 - 42x - 12x - 84

Now combine like terms.

2x^3 - 8x^2 - 54x - 84

Hope this helps you!

The correct option is C) .

Step-by-step explanation:

Consider the provided expression.

Use the distributive property:

By using the above property we can simplify it as shown:

Use the distributive property.

Add and subtract the like terms.

Thus, the simplified form of the provided expression is .

Hence, the correct option is C) .