Verified Answer :

Neuron

If you would like to solve (2x - 6) (3x^2 - 3x - 6), you can do this using the following steps:

(2x - 6) (3x^2 - 3x - 6) = 2x 3x^2 - 2x 3x - 2x 6 - 6 3x^2 + 6 3x + 6 6 = 6x^3 - 6x^2 - 12x - 18x^2 + 18x + 36 = 6x^3 - 24x^2 + 6x + 36

The correct result would be 6x^3 - 24x^2 + 6x + 36.

Answer:

Option A is correct.

Correct simplification of the given expression = \(6x^3-24x^2+6x+36\)

Step-by-step explanation:

Given the expression: \((2x-6)(3x^2-3x-6)\)

The following steps required for the multiplication of polynomials are:

  • Distribute each terms of the first polynomial to every term of the second polynomial.
  • Combine like terms

Apply these steps to the given expressions;

\(2x(3x^2-3x-6) -6(3x^2-3x-6)\)

when you multiply two terms together you must multiply the coefficient (numbers) and add the exponent.

⇒\(6x^3-6x^2-12x -18x^2 +18x +36\)

Combine like terms;

\(6x^3-24x^2+6x+36\)

Therefore, the correct simplification of the given expression is, \(6x^3-24x^2+6x+36\)

Related Questions