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Harlamova29_29 [7]
3 years ago
12

Simplify. -6x + 8/6 - 3/2x - 1/2 + 5/2x Do not use decimals in your answer.

Mathematics
1 answer:
enyata [817]3 years ago
3 0
- 3 1/2x+ 5/6 is the answer
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Factorise 3(2x+3y)² - 8x - 12y​
Travka [436]

Factorise 3(2x + 3y)^2 - 8x - 12y

First, we FOIL it.

FOIL: First, Outside, Inside, and Last

(2x + 3y)(2x + 3y)

First: 2x*2x = 4x^2

Outside: 2x*3y = 6xy

Inside: 3y*2x = 6xy

Last: 3y*3y = 9y^2

Before, we move on, we have to combine any like terms.

6xy + 6xy = 12xy

Then, when we've finished FOILing it, we place a pair of parentheses around these.

3 (9y^2 + 4x^2 + 12xy) -8x - 12y

Now, we can distribute the 3.

3 * 9y^2 = 27y^2

3 * 4x^2 = 12x^2

3 * 12xy = 36xy

Lastly, we combine any like terms if there are any.

Expression: 27y^2 + 12^2 + 36xy - 8x - 12y

None of these all have a greatest common factor for the whole set.

So, therefore, the factorised form of 3(2x + 3y)^2 - 8x - 12y is:

27y^2 + 12x^2 + 36xy - 8x - 12y

3 0
3 years ago
Read 2 more answers
Without establishing good credit, it would be most difficult to
Elenna [48]

Answer:

It's gonna be C

Step-by-step explanation:

No explanation it's C.

5 0
3 years ago
Plz help me figure this pit
prohojiy [21]

Answer:

i think its true

Step-by-step explanation:

7 0
3 years ago
I need help with this problem.
sdas [7]

Answer:

  \text{4}\quad -3x^{-1}+x^{-2}

Step-by-step explanation:

The answer choices suggest there is a common factor of (x+2) that can be removed from numerator and denominator.

The denominator factors as ...

  x^3+2x^2=x^2(x+2)

The numerator obviously has no factors of x. We can try any of several means to determine if (x+2) is a factor. I tried synthetic division and found that the numerator can be written as ...

  -3x^2-5x+2=(-3x+1)(x+2)

Then the expression simplifies to ...

  \dfrac{-3x^2-5x+2}{x^3+2x^2}=\dfrac{(-3x+1)(x+2)}{x^2(x+2)}\\\\=\dfrac{-3x+1}{x^2}=\dfrac{-3x}{x^2}+\dfrac{1}{x^2}=-3x^{-1}+x^{-2} \qquad\text{matches choice 4}

4 0
3 years ago
Nelson Middle School raised $19,950 on ticket sales for its carnival fundraiser last year at $15 per ticket. If the school sells
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C 30600 dollars hope it helps

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