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laila [671]
3 years ago
9

Phân tích : x^3+2x^2y+xy^2-9x

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0

Answer:

x(x+y+3)(x+y-3)

Step-by-step explanation:

x³+2x²y+xy²-9x

= x((x²+2xy+y²)-3²)

= x((x+y)² - 3²)

= x(x+y+3)(x+y-3)

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What is the row echelon form of this matrix?
USPshnik [31]

The row echelon form of the matrix is presented as follows;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

<h3>What is the row echelon form of a matrix?</h3>

The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.

The given matrix is presented as follows;

\begin{bmatrix}-3 &6  &15  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

The conditions of a matrix in the row echelon form are as follows;

  1. There are row having nonzero entries above the zero rows.
  2. The first nonzero entry in a nonzero row is a one.
  3. The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.

Dividing Row 1 by -3 gives:

\begin{bmatrix}1 &-2  &-5  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 1&0  &-1  \\\end{bmatrix}

Subtracting Row 1 from Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&2  &4  \\\end{bmatrix}

Adding Row 2 to Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&0  &18  \\\end{bmatrix}

Dividing Row 2 by -2, and Row 3 by 18 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

The above matrix is in the row echelon form

Learn more about the row echelon form here:

brainly.com/question/14721322

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8 0
1 year ago
Y=x^2-6x+7 from algebra nation
alina1380 [7]

Answer:

Step-by-step explanation:

We

8 0
3 years ago
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Can you simplify 6/60?
Slav-nsk [51]
Yes divide by 6 both top and bottom and u get 1/10
8 0
3 years ago
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What is the y-intercept of y = -2x+6y=−2x+6?
goblinko [34]

Answer:

6

Step-by-step explanation:

Given: y=-2x+6

Since the equation is written in slope-intercept form, it is extremely easy to find the y-intercept. Slope-intercept form is written as:

y=mx+b

Whereas:

y: range

m: slope

x: domain

b: y-intercept

With that in mind, we can immediately tell that 6 is the y-intercept.

6 0
3 years ago
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1.5 lbs of gum balls I want to buy it’s 3.99 per pound
zubka84 [21]

Answer:

$5.99 for 1.5 lbs of gumballs

Step-by-step explanation:

You want to buy One and a half pounds of gumballs for $3.99 per pound. It is 3.99 for one pound of gumballs, so the price for half a pound of gumballs is half of that price.

3.99 / 2 = 1.995

Then add the price of 1 pound

3.99 + 1.995 = 5.985

Then you can round that up to 5.99

5 0
3 years ago
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