What is x4-81 factored?

Answers

Answer 1

Answer: What we need here:

"The difference of two squares is the same as (their sum) times (their difference)."

x^4 is the square of x² .
81 is the square of 9 .
Their difference is the same as (x² + 9) times (x² - 9).

But (x² - 9) is also the difference of two squares,
so it's the same thing as (x+ 3) times (x-3).

So the complete factored form of the original expression is

(x^4 - 81) = (x² + 9) (x+3) (x - 3)

Answer 2

Answer: $x^4-81=(x^2)^2-9^2=(x^2-9)(x^2+9)=(x^2-3^2)(x^2+9)=\n\n=(x-3)(x+3)(x^2+9)$

Related Questions

True or false1. All parallelograms are squares.2. All squares are parallelograms.3. All trapezoids are scalene.4. All squares are rhombuses.5. All rhombuses are squares.6. All rectangles are squares.7. All squares are rectangles.
What is the value of y so that the ordered pair (5, y) is a solution to the equation –5x + y = –40?
Please help me solve my problem!!!
The function is defined by the following rule.f(x)=2x-5Complete the function table.-S0145X000005
What is the value of the expression below when x6 and y = 10?10x - 5y

5(3q-1)5q+15

Who can find the variable for this

Answers

Answer:

-5(2q - 3)

Step-by-step explanation:

$5(3q - 1)5q + 15 \n 15q - 5 * 5q + 15 \n 15q - 25q + 15 \n - 10q + 15 \n - 5(2q - 3) \n$

the following table shows the revenue for a company generates based on the increases in the price of the product. What is the y-value of the Vertex of the parabola that models the date?

Answers

Answer:

The y-value of the Vertex of the parabola that models the data is 1125.

Step-by-step explanation:

Let the function of parabola is

$f(x)=ax^2+bx+c$

From the given that it is noticed that the parabolic function passing through the points (1,1045), (3,1105) and (5,1125). It means the function must be satisfied by these points.

$1045=a(1)^2+b(1)+c$

$1045=a+b+c$ ....(1)

$1105=a(3)^2+b(3)+c$

$1105=9a+3b+c$ ....(2)

$1125=a(5)^2+b(5)+c$

$1125=25a+5b+c$ ....(3)

On solving (1), (2) and (3) we get,

$a=-5$

$b=50$

$c=1000$

Therefore the equation of parabola is

$f(x)=-5x^2+50x+1000$

The vertex of the parabola is

$((-b)/(2a),f((-b)/(2a)))$

$(-b)/(2a)=-(50)/(2(-5))=5$

$f(5)=1125$

Therefore the vertex is (5,1125) and y-value of the Vertex of the parabola that models the data is 1125.

The vertexes of the parabola are, (5, 1125).

Explanation

The table given to us in the problem are the data points that will lie on the parabola, therefore,

Point 1 = (1, 1045)

Point 2 = (3, 1105)

Point 3 = (5, 1125)

Point 4 = (3, 1105)

Point 5 = (1, 1045)

Equation of a Parabola,

We know that the equation of a parabola is given as,

$y = ax^2 +bx+c$

For point 1,

Point 1 = (1, 1045)

Substituting the value in the equation of a parabola,

$1045 = a(1)^2 +(1)b+c\n\n1045 = a+b+c$ ..... equation 1,

For point 2,

Point 2 = (3, 1105)

Substituting the value in the equation of a parabola,

$1105 = a(3)^2 +(3)b+c\n\n1105= 9a+3b+c$ ..... equation 2,

For point 3,

Point 3 = (5, 1125)

Substituting the value in the equation of a parabola,

$1125= a(5)^2 +(5)b+c\n\n1125= 25a+5b+c$ ..... equation 3,

Solving the three equations we get,

a = -5,

b = 50,

c = 1000

Substitute the values in the equation of a parabola,

$y=f(x) = -5x^2 +50x +1000$

How to find Vertexes of a parabola?

To find the vertex of a parabolic equation we bring the equation into the form,

$y = a(x-h)+k\n$ , where h and k are the vertexes of the parabola.

Vertexes of the parabola

Vertex of the Parabola,

$y=f(x) = -5x^2 +50x +1000\n\ny = -5x^2 +50x +1000\n\ny =-5(x^2 -10x)+1000\n\ny =-5(x^2 -10x+25-25)+1000\n\ny =-5(x^2 -10x+25)+ (-5* -25)+1000\n\ny =-5(x^2 -10x +25)+125+1000\n\ny =-5(x^2 -5)^2+1125$

Comparing it to the equation, $y = a(x-h)+k\n$ ,

the vertexes of the parabola are,

(5, 1125)

Learn more about the Equation of a Parabola:

brainly.com/question/4443998

How to solve 2/4 of 4

Answers

2/4 simplified is 1/2
1/2 of 4 = 4/2
4/2 simplifies to 2/1
2/1 is 2
2

4 can be written as 4/1.
Now multiply 2/4 * 4/1 = 8/4
8/4 can be reduced by 4
8/4 = 2
4/4=1
So u have 2/1 = 2

Rolex worked 40 hours last week. He had 74 deducted from his earnings for taxes. If he had 286 left after the deduction how much does Rolex earn per hour?

Answers

Answer:

Rolex earns $9 per hour.

Step-by-step explanation:

Let the number of dollars he earns each hour be x.

To create our equation we need to find the total number of dollars he earned before his deduction which is 40x.

Then we know that he got 74 dollars deducted from his total earnings leaving him with 286 which gives us an equation. 40x + 74 = 286

40x - 74 = 286 (Equation)

40x = 360 (Add 74 from both sides)

x = 9 (Divide both sides by 40)

Find the solution set (x+1)(x+1)=0

Answers

x= -1 beacuse negative one plus one is 0 and that will equal zero for both sides

(x+1)(x+1)
x²+2x+1=0
x²+1x+1x+1=0
x(x+1)+1(x+1)
(x+1)(x+1)
x=-1

How do I find BCD? Please help

Answers

Hi,
BCD and ECF are opposite angles and so are equal. If they are equal, then their equations are equal, and if their equations are equal, you can set the equations against each other to find x. See below, and hope this helps!

(10x - 20)° = (8x + 4)°

This is basic algebra. (I'm taking off the degree sign for now to make it simpler, but be sure to add it to your answer at the end.) Group like terms.

10x - 20 = 8x + 4
2x = -16
x = -8

Once you've found "x", plug "x" into the equation for BCD and solve. I'll get you started:

(10 × -8) - 20

all you need to do is add the angles up and you have your answer

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