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2 years ago

18x3 + 6x2y - 9x2 - 3xy factor completely

Mathematics

1 answer:

lutik1710 [3]2 years ago

7 0

Answer:

$\sf 3x(3x+y)(2x-1)$

Step-by-step explanation:

Given expression:

$\sf 18x^3 + 6x^2y - 9x^2 - 3xy$

Factor out common term $\sf 3x$ :

$\sf \implies 3x(6x^2 + 2xy - 3x - y)$

Factor $\sf (6x^2 + 2xy - 3x - y)$

Rearrange:

$\sf \implies 6x^2 - 3x+ 2xy - y$

Factor pairs of terms:

$\sf \implies 3x(2x-1)+ y(2x - 1)$

Factor out common term (2x - 1):

$\sf \implies (3x+y)(2x-1)$

Final solution:

$\sf \implies 3x(3x+y)(2x-1)$

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What is the simplified expression for -3(2x-y)+2y + 2(x+y)?

slamgirl [31]

Answer:

$- 3(2x - y) + 2y + 2(x + y) \\ - 6x + 3y + 2y + 2x + 2y \\ = - 4x + 7y$

I hope I helped you^_^

6 0

3 years ago

Read 2 more answers

2(x-3)-8< -4 I need a explanation and the answer please.

tresset_1 [31]

Answer:

The solution to the inequality is:

$x$

The number line solution graph is also attached below.

Step-by-step explanation:

Given the inequality

$2(x-3)-8< -4$

Add 8 to both sides

$2\left(x-3\right)-8+8$

$2\left(x-3\right)$

Divide both sides by 2

$\frac{2\left(x-3\right)}{2}$

$x-3$

Add 3 to both sides

$x-3+3$

$x$

Thus, the solution to the inequality is:

$x$

The number line solution graph is also attached below.

6 0

3 years ago

What is wrong with the following proof? Clearly we know that 1 does not equal 2. What rule of algebra did we break that makes th

Gnoma [55]

An attempt to divide by zero gives a contradictory result

A rule of algebra broken is <u>dividing by zero</u> (leading to a contradiction) and stating a finite result

Reason:

The given calculation is presented as follows;

1. a > 0, b > 0 given

2. a = b given

3. a·b = b²

4. a·b - a² = b² - a²

5. a·(b - a) = (b + a)·(b - a)

6. a = b + a

7. 0 = b

8. b = 2·b

9. 1 = 2

From line 4, the result are;

4. a·b - a² = b² - a² = 0

5. a·(b - a) = (b + a)·(b - a) = 0

On line 6, both sides where divided by (b - a) = 0, which should given an infinite result

Therefore, one rule of algebra broken is dividing by zero to get a finite result

In line 7, we have;

7. 0 = b

From 6. a = b + a, and a = b, we have;

8. b = 2·b

Therefore, line 9 should be;

9. 0 = 2·0; 0 = 0, given that we have;

1 × 0 = 0

2 × 0 = 0

∴ 1 × 0 = 2 × 0

However

1 ≠ 2

In line 9., by dividing by b = 0, again, we have;

9. 1 = 2 (a contradiction)

Therefore, one rule of algebra that is broken is <u>dividing by zero</u> and having a finite result

Learn more about the rules of algebra here:

brainly.com/question/11388301

5 0

3 years ago

Can Someone explain how to do this?

zheka24 [161]

1 equals 2. So 2 would be 50 as well.
50+50=100
And there's 360 degrees in total so you'd then subtract 360-100= 260
Then divide by 2 since the other 2 angles are the same
260/2=130
1=50
2=130
3=130
Hope this makes sense! :)

6 0

3 years ago

Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22

madam [21]

The equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Given equation of sphere be $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like $x^{2} +y^{2} +z^{2} =r^{2}$ .