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2 years ago

Factorize x2(2x + 3y) + 3x (2x + 3y) +2 (2x + 3y)

Mathematics

2 answers:

serg [7]2 years ago

6 0

Answer:

(2x+3y)(x2+3x+2). it may helps you

Fudgin [204]2 years ago

5 0

Answer:

$\tt 2x^3+3x^2y+6x^2+9xy+4x+6y$

Step-by-step explanation:

$\tt x^2(2x + 3y) + 3x (2x + 3y) +2 (2x + 3y)$

Expand by distributing terms:-

$\tt 2x^3+3x^2y+3x(2x+3y)+2(2x+3y)$

Expand by distributing terms:-

$\tt 2x^3+3x^2y+6x^2+9xy+4x+6y$

You might be interested in

A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below.

Annette [7]

The most appropriate choice for maxima and minima of a function will be given by

Rectangle of length 72 feet and breadth 36 feet has largest area

What is maxima and minima?

Maxima of function f(x) is the maximum value of the function and minima of function f(x) is the minimum value of the function.

Here,

Let the length be x feet and breadth be y feet

The farmer has 144 feet of fencing

Three of the sides will require fencing and the fourth wall already exists.

So,

x + y + y =1 44

x + 2y = 144

Area of rectangle(A) = xy $ft^2$

= (144 - 2y)y

= $144y - 2y^2$

$\frac{dA}{dy} = \frac{d}{dy}(144y - 2y^2)$

= $144 - 2\times 2y^{2-1}\\144 - 4y$

For largest area,

$\frac{dA}{dy} = 0$

$144 - 4y = 0 \\4y = 144\\y = \frac{144}{4}\\y = 36$

$\frac{d^2A}{dy^2} = \frac{d}{dy}(144 - 4y)\\=0-4\\=-4 < 0$

Hence area is maximum

For largest area, y = 36 feet

$x = 144 - 2\times 36\\x = 144-72\\$

$x = 72$ feet

So length of rectangle is 72 feet, breadth of rectangle is 36 feet

To learn more about maxima and minima of a function, refer to the link:

brainly.com/question/14378712

#SPJ9

3 0

1 year ago

The value of 33 + 42 = <br> . (5 points) <br> HELP PLEASE ITS DO IN 15 MIN!!!!

Paladinen [302]

Answer:

The answer is 75

I need to write atleast 20 letters to answer this so don't worry. Also, can you mark as brainliest

7 0

3 years ago

Read 2 more answers

Elizabeth swims 50 feet in ten seconds. Jesse swims 110 feet in 20 seconds. Reagan swims 160 feet in half a minute. Who swims fa

qwelly [4]

Answer:

The Jesse swim fastest

Step-by-step explanation:

Given as :

The distance cover by Elizabeth while swimming = 50 feet

The time taken by Elizabeth = 10 sec

So, Speed of Elizabeth = $\frac{Distance}{Time}$

∴ Speed of Elizabeth = $\frac{50}{10}$ = 5 feet per sec

Again ,

The distance cover by Jesse while swimming = 110 feet

The time taken by Jesse = 20 sec

So, Speed of Jesse = $\frac{Distance}{Time}$

∴ Speed of Jesse = $\frac{110}{20}$ = 5.5 feet per sec

Again ,

The distance cover by Reagan while swimming = 160 feet

The time taken by Reagan = 30 sec

So, Speed of Reagan = $\frac{Distance}{Time}$

∴ Speed of Reagan = $\frac{160}{30}$ = 5.3 feet per sec

So, $Speed of Elizabeth< Speed of Reagan < Speed of Jesse$

Hence The Jesse swim fastest Answer

6 0

3 years ago

Witch two are equivalent?

andrezito [222]

They would be:

Mabel
Liling
Peta

But Mabel’s answer is Liling’s answer if it was rounded. And for Peta: 8/9 is equal to both (either rounded up to or not)

7 0

3 years ago

Read 2 more answers

Find the compound amount and interest if Php. 400,000 is invested at 8 %, compounded quarterly for 5 years and 6 months?

miss Akunina [59]

Answer:

618 391 .87

Step-by-step explanation:

5 years 6 months = 22 quarters

8% = .08 .08/4 = .02 interest per period

400 000 ( 1 + .02)^22 = 618 391.87

4 0

2 years ago