Respuesta :
Answer:
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!
Answer:
The correct option is C) [tex]2x^3+8x^2-54x-84[/tex].
Step-by-step explanation:
Consider the provided expression.
[tex]2(x + 7)(x^2-3x-6)[/tex]
Use the distributive property:
[tex]a(b+c)=ab+ac[/tex]
By using the above property we can simplify it as shown:
[tex](2x + 14)(x^2-3x-6)[/tex]
Use the distributive property.
[tex]2x^3-6x^2-12x+14x^2-42x-84[/tex]
Add and subtract the like terms.
[tex]2x^3+8x^2-54x-84[/tex]
Thus, the simplified form of the provided expression is [tex]2x^3+8x^2-54x-84[/tex].
Hence, the correct option is C) [tex]2x^3+8x^2-54x-84[/tex].
