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2 years ago

Choose the correct simplification of (4x − 3)(3x2 − 4x − 3).

Mathematics

1 answer:

Korolek [52]2 years ago

8 0

the expression simplified is:

$12x^3 - 25x^2 + 9$

<h3>How to simplify the given expression?</h3>

Here we have the expression:

$(4x - 3)*(3x^2 - 4x - 3)$

We just need to distribute the product, we will get:

$(4x - 3)*(3x^2 - 4x - 3)\\\\(4x)*(3x^2 - 4x - 3) - 3*(3x^2 - 4x - 3)\\\\12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9$

Now we just need to group terms with the same exponent of x:

$12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9\\\\12x^3 + (-16 - 9)x^2 + (-12 + 12)x + 9\\\\12x^3 - 25x^2 + 9$

That is the expression simplified

If you want to learn more about simplification:

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Write an equation of a line in slope intercept form that is perpendicular to the line 2x -3y = 12 and

ella [17]

Answer:

The equation of the line would be y = -3/2x + 9

Step-by-step explanation:

In order to solve this, start by finding the slope of the original line. You can do this by solving for y.

2x - 3y = 12

-3y = -2x + 12

y = 2/3x - 4

Now that we have a slope of 2/3, we know that the perpendicular slope is -3/2 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 6 = -3/2(x - 2)

y - 6 = -3/2x + 3

y = -3/2x + 9

3 0

4 years ago

3(x + 2) - 6 = 15 please heelp

Alex

Answer:

Step-by-step explanation:

First multiply inside of the parenthesis with 3 then add the like terms

3x + 6 - 6 = 15 ➡ 3x = 15 divide both sides with 3 and x = 5

4 0

3 years ago

HELPP ASAP<br><br> 2w - 30 = -26

ddd [48]

Add 30 to both sides.

2w - 30 + 30 = -26 + 30

2w = 4

Divide by 2.

w = 2

5 0

4 years ago

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Lyrx [107]

Answer:

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Hope this helped :)

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3 years ago

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Solve 2(x + 3) = -4(x + 1) for x.

vitfil [10]

Answer:

x = -10/6 or - 5/3 (in lowest terms)

Step-by-step explanation:

To solve 2(x + 3) = -4(x + 1) for x:

Distribute 2 into (x + 3), and -4 into (x + 1):

2(x + 3) = -4(x + 1)

2x + 6 = -4x - 4

Add 4x to both sides:

2x + 6 + 4x = -4x + 4x - 4

6x + 6 = -4

Subtract 6 from both sides:

6x + 6 - 6 = -4 - 6

6x = -10

Divide both sides by -6:

$\frac{6}{6} = \frac{-10}{6}$

x = -10/6 or - 5/3 (in lowest terms)

8 0

3 years ago

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