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Charra [1.4K]
3 years ago
12

An expression is shown below:

Mathematics
1 answer:
Alex73 [517]3 years ago
3 0

Given:

The given expression is:

6x^2y-3xy-24xy^2+12y^2

To find:

Part A: The expression by factoring out the greatest common factor.

Part B: Factor the entire expression completely.

Solution:

Part A:

We have,

6x^2y-3xy-24xy^2+12y^2

Taking out the highest common factor 3y, we get

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

Therefore, the required expression is 3y(2x^2-x-8xy+4y).

Part B:

From part A, we have,

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

By grouping method, we get

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

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

Therefore, the required factored form of the given expression is 3y(x-4y)(2x-1).

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3(2x+1)-2(x+1) is the same as
Dahasolnce [82]

Answer:

4x + 1 and 6x - 2x - 2 + 3

Step-by-step explanation:

we can expand and find 2 equations that are the same as this

one being 6x+3 -2x -2

and another being 4x + 1

hope this helps!

5 0
2 years ago
7 x 3/4
Mkey [24]

7 3/4

Step 1: Multiply 7 and 4.

            7 x 4=28

Step 2:Add 3 to their product.

         28+3=31

Step 3:The number so obtained is the numerator and the denominator remains the same.

Answer: 31/4

I think that is what you are looking for!

Hope that helps!!!

7 0
3 years ago
Paint can be purchased in two sizes: 1 gallon for $45.99 or 1 quart for $14.99.(round to the hundredths place)a.unit ratio of 1
ExtremeBDS [4]

Answer:

  a. $0.47 per ounce

  b. $0.36 per ounce

  c. the gallon size costs less per ounce

Step-by-step explanation:

A unit rate is a rate that is expressed with one unit in the denominator. That is, it is <some amount> per unit. The <some amount> value will generally depend on what unit is chosen. This problem suggests the desired unit is 1 oz of paint.

__

<h3>a.</h3>

Unit cost for a quart:

  ratio = cost/ounces = $14.99/(32 oz) ≈ $0.468/oz ≈ $0.47/oz

__

<h3>b.</h3>

Unit cost for a gallon:

  ratio = cost/ounces = $45.99/(120 oz) ≈ $0.359/oz ≈ $0.36/oz

__

<h3>c.</h3>

The cost per ounce is less for the gallon size. If at least 3 quarts of paint is needed, then buying it in the gallon size will cost less.

If less than 3 quarts are needed, then a gallon container will cost more than is necessary for the paint required. The "better deal" depends on the amount of paint required.

3 0
2 years ago
2x + y = 1<br> 3x + 2y = 0
ale4655 [162]

Answer:

(2,-3)

x=2   y=-3

Step-by-step explanation:

2x+y=1         y=1-2x

3x+2y=0

3x+2(1-2x)=0

3x+2-4x=0

-x+2=0

-x=-2

x=2

2x+y=1

2(2)+y=1

4+y=1

y=-3

7 0
3 years ago
I'm confused- can someone help?-
True [87]
16b +5c -10 -8c +2b
18b - 3c -10
6 0
3 years ago
Read 2 more answers
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