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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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What number is halfway between 421000 and 422000
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Step-by-step explanation:

<h2>421500</h2>

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3 years ago
Find the side length of a cube with a volume of 166 m
marin [14]
The answer is 5.5 m.


Cube
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Since the length, width and the height are the same in cube, the formula can be:

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2 years ago
There are 36 carpenters in a crew.
dolphi86 [110]

Answer:

<em>75%</em>

Step-by-step explanation:

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7 0
3 years ago
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A laboratory experiment requires 2400 milligrams of sugar. How many kilograms of sugar does the experiment require?
telo118 [61]

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5 0
3 years ago
What is the value of y in this system of equations: 3x + y = 9 y = –4x + 10 ?
Ahat [919]
<span>3x + y = 9 (I)
</span><span>y = –4x + 10 (II)
------------------------
</span>\left \{ {{3x + y = 9 } \atop {y = -4x + 10 }} \right.

Pass the incognito "4x" to the first term, changing the signal when changing sides.
<span>-------------------------
simplify by (-1)
</span>\left \{ {{3x + y = 9.(-1)} \atop {4x + y = 10 }} \right.<span>

-------------------------
</span>\left \{ {{- 3x - \diagup\!\!\!\!y =-9} \atop {4x + \diagup\!\!\!\!y = 10}} \right.     &#10;
<span>
-------------------------
</span>\left \{ {{- 3x = - 9} \atop {4x = 10}} \right.<span>

-----------
</span>\boxed{x = 1}<span><span>

</span></span><span>Substitute in equation (I) to find the value of "Y".

</span>3x + y = 9 (I)
3*(1) + y = 9
3 + y = 9
y = 9 - 3
\boxed{y = 6}

Answer:
\boxed{\boxed{ \left \ {{x=1} \atop {y=6}} \right. }}

6 0
3 years ago
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