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ladessa [460]
3 years ago
15

Choose the correct simplification of the expression (2x − 6)(3x2 − 3x − 6).

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
6 0

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

seraphim [82]3 years ago
3 0
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<span>) = 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
</span>
The correct result would be <span>6x^3 - 24x^2 + 6x + 36.</span>
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