Mathematics College

81 x

3y + 72x
2y
2 + 16xy
3

Answers

Answer 1

Answer:

Step 1 :Equation at the end of step 1

((81•(x4))-((72•(x2))•(y2)))+24y4

Step 2 :

Equation at the end of step 2 :

((81 • (x4)) - ((23•32x2) • y2)) + 24y4

Step 3 :

Equation at the end of step 3 :

(34x4 - (23•32x2y2)) + 24y4

Step 4 :Trying to factor a multi variable polynomial

4.1 Factoring 81x4 - 72x2y2 + 16y4

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (9x2 - 4y2)•(9x2 - 4y2)

Detecting a perfect square :

4.2 81x4 -72x2y2 +16y4 is a perfect square

It factors into (9x2-4y2)•(9x2-4y2)

which is another way of writing (9x2-4y2)2

How to recognize a perfect square trinomial:

• It has three terms

• Two of its terms are perfect squares themselves

• The remaining term is twice the product of the square roots of the other two terms

Trying to factor as a Difference of Squares:

4.3 Factoring: 9x2-4y2

Put the exponent aside, try to factor 9x2-4y2

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check : 4 is the square of 2

Check : x2 is the square of x1

Check : y2 is the square of y1

Factorization is : (3x + 2y) • (3x - 2y)

Raise to the exponent which was put aside

Factorization becomes : (3x + 2y)2 • (3x - 2y)2

Final result :

(3x + 2y)2 • (3x - 2y)2

Step-by-step explanation:

Answer 2

Answer:

81x+16y

should be the correct one

Related Questions

Determine the equation of the line passing through the point below having the corresponding slope.
Point: ( -20, -34)
Slope: m =9/5
Write your answer as an equation in the form y=mx+b

Answers

Answer:

Step-by-step explanation:

-34 = (9/5)(-20) + b

b = -34 + 36 = 2

y = (9/5)x + 2

Is it fair to give only 5 points for such a big question?

Answers

Answer:

Step-by-step explanation:

Because you (or whoever asks) shouldn't give only 5 points to such a big question, because whoever answers the question might have worked really hard to answer it while you just gave them only 5 points...its not worth answering of only 5 points. In my opinion at least ‍♀️

Hope what I said makes sense :)

5 1/2 ÷3/4 write it in fraction form

Answers

The Answer:

Simplified 7 1/3

Improper 22/3

Answer:

[tex]5 \frac{1}{2} \div \frac{3}{4} = \frac{22}{3} [/tex]

Step-by-step explanation:

[tex]5 \frac{1}{2} \div \frac{3}{4} \\ \\ \\ \frac{11}{2} \div \frac{3}{4} \\ \\ \frac{11}{2} \times \frac{4}{3} \\ \\ \frac{11}{1} \times \frac{2}{3} \\ \\ \\ \frac{11 \times 2}{1 \times 3} = \frac{22}{3} [/tex]

I hope I helped you^_^

can anyone heelp me pls pls

Answers

Answer: liquid= lotion capsule= solid suspension=semisolid

Step-by-step explanation:

What is the maximum, minimum, Midline, amplitude and period of the graph

Answers

Answer:

maximum -1 minimum -7 amplitude 6 midline -4

Step-by-step explanation:

Write the equation of the line containing the points (3, 6) and (7, - 2) in standard form.

Answers

Answer:

[tex]y = mx + c \\ 6 = 3m + c...(1) \\ - 2 = 7m + c...(2) \\ subtract \: (2) - (1) \\ 4m = - 8 \\ \therefore \: m = - 2 \: sub \: in \: (1) \\ 6 = 3( - 2) + c \\ \therefore \: c = 12 \\ \boxed{y = - 2x + 12}[/tex]

Answer:

y=-2x+12

Step-by-step explanation:

Solve the problems.
A bird is flying at an elevation of 14 feet above the
surface of the water. A fish is swimming the same
distance below the surface of the water.
How can you
represent a location
below the surface of
the water?
a. What number represents the position of the fish
relative to the surface of the water?
b. How does the absolute value of the number
you wrote show that the distances are the
same? Explain.

Answers

Answer:

I believe a is -14

Step-by-step explanation:

its -14 because if it is in the exact same spot below water, think of the water as point 0. the bird is 14 and the fish is -14. Hope this helped

Pre-calc I'm having a lot of trouble 61 POINTS

Answers

Answer:

See below

Step-by-step explanation:

The points:

{(-5, 6), (-5, 8), (2, 5), (6, 9)}

The domain (set of input values) is:

{-5, 2, 6}

The range (set of output values):

{5, 6, 8, 9}

The relation is not a function because the same input (-5) has two different outputs (6 and 8).

Answer fast, please!!!

Answers

The distributive property states that any expression with three numbers A , B , and C , given in form A (B + C) then it is resolved as A × (B + C) = AB + AC

According to distributive property

[tex]{{ \large{ \blue{ \rm{{➥}}}}}} \rm \large \: \: 6.7 \: (8x \: + \: 9)[/tex]

[tex]{{ \large{ \blue{ \rm{{➥}}}}}} \rm \large \: \: 53.6x \: + \: 60.3[/tex]

Hence , Option D is the correct answer.

if A=(-2,-4) and B=(-8, 4) what is the length of AB?

Answers

the length of AB is 10 cm..........

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Length of AB is equal to :

[tex]10 \: \: units[/tex]

Refer to the attachment for solution ~

as part of a campaign to promote it's annual clearance sale

Answers

Answer:

is this a question or not?

Step-by-step explanation:

the sum of three consecutive even integers if the largest number is y

Answers

Answer:

Step-by-step explanation:

4y=6 sorry thats all i know

Find the angles marked x,y and z.
ASAP

Answers

Answer:

x= 45°

y= 95°

z= 85°

hope this helps <3

Answer:

Step-by-step explanation:

x= 50

y+25=180(because it is on a straight line)

y+25=180

y+25-25= 180-25

y+0= 155

y= 155

z+ y=180

z+ 155= 180

z+ 155- 155 =180-155

z+ 0 = 25

z = 25

x = 50

y = 155

z = 25

what is the value of p(x)=4x+15 ?

Answers

Answer:

The answer is 10x

Step-by-step explanation:

Write the equation of the line with a slope of -3/4 and a y-intercept of 8 in slope
intercept form

Answers

Heheh the slope is 8

pls help me with this math

Answers

Jdbdjdbdhsjsbdjdbdhdj

Tristan is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.50 per mile driven. How much would a taxi ride cost if Tristan is riding for 9 miles? How much would a taxi ride cost that is mm miles long?

Answers

Answer:

$ 16.50

y = 1.50m + 3

Step-by-step explanation:

1.50(9) + 3 = $16.50

What is the value of x in the equation 3x-y = 30, when y = 15?

Answers

62663773828hfnmdmsmlap62sjdldleldlb

[tex]x=200[/tex]

Explanation:

Okay so we can start by substituting in [tex]y[/tex] as we know what it is already:

[tex](\frac{1}{5} )x-(\frac{2}{3} )(15)=30[/tex]

Now at this stage we could use a calculator to figure out what [tex]\frac{2}{3}[/tex] of [tex]15[/tex] are though a bit of mental math is as easy:

[tex](\frac{15}{3} )[/tex] · [tex]2=[/tex] [tex]5[/tex] · [tex]2[/tex]

okay so now we have:

[tex](\frac{1}{5} )x-10=30[/tex] add 10 to both sides to get rid of the [tex]-10[/tex]

[tex](\frac{1}{5})x=40[/tex] let's get rid of that fraction by multiplying by [tex]5[/tex]

and there's the solution for x

We can check we got this right by substituting it back into the original equation with the known y:

[tex](\frac{1}{5} )(200)-(\frac{2}{3})(15)=30[/tex]

now, and we already know what out of is so :

that means

which is ✓

Therefore we know our solution is right.

Under his cell phone plan, Alonso pays a flat cost of $53.50 per month and $3 per gigabyte. He wants to keep his bill at $59.80 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Alonso can use while staying within his budget.

Answers

Answer:

Alonso can use 2.1 gigabytes while staying within his budget.

Step-by-step explanation:

53.50 + 3x = 59.80

3x = 59.80 - 53.50

3x = 6.3

x = 6.3 ÷ 3

x = 2.1

Alonso can use 2.1 gigabytes while staying within his budget.

Hi i need help with this

Answers

Answer:

2 (n + 2) = 2n + 4

n + n + n + n = 4n

2 (3n) = 6n

4n + n = 5n

Step-by-step explanation: