1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
soldi70 [24.7K]
3 years ago
11

Which expression is equivalent to x^8-256

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
3 0

Answer:

\large\boxed{x^8-256=(x^4+16)(x^2+4)(x+2)(x-2)}

Step-by-step explanation:

x^8-256\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=x^{(4)(2)}-16^2=(x^4)^2-16^2\qquad\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=(x^4+16)(x^4-16)=(x^4+16)(x^{(2)(2)}-4^2)\\\\=(x^4+16)\bigg((x^2)^2-4^2\bigg)=(x^4+16)(x^2+4)(x^2-4)\\\\=(x^4+16)(x^2+4)(x^2-2^2)\\\\=(x^4+16)(x^2+4)(x+2)(x-2)

You might be interested in
Given the relation A = {(5,2), (7,4), (9,10), (x, 5)}. Which of the following values for x will make relation A a function?
bija089 [108]
It will be the first one 9
5 0
3 years ago
What can you conclude and reason
SSSSS [86.1K]

Answer:

ABC is an isosceles triangle.

Because it consists of two congruent triangles created by CD, side AC = CB, making it an isosceles triangle.

Step-by-step explanation:

I can conclude that triangle ABC is an isosceles triangle.

Perpendicular means intersecting at 90°. Bisector means intersecting at the midpoint, halfway between the two ends.

Since CD is dropped from vertex C and is a perpendicular bisector of AB, angle C is also bisected.

Therefore angle C for both triangles CDA and CDB is of equal measure.

We know angle D for both triangle CDA and CDB is of equal measure, 90°, because CD is a <em>perpendicular </em>bisector of AB.

The two triangles also share the same side CD.

Triangles CDA and CDB are congruent for having 2 equal angles and 1 equal side (ASA property).

Since they are congruent, AD = AB and AC = CB. Therefore triangle ABC is an isosceles triangle.

6 0
3 years ago
Tommy grew 18 flowers with 3 seed
Aliun [14]
120/18=6.6
Tommy would need about 7 packets of seed packets
4 0
3 years ago
Complete the equation of the graphed linear function in point-slope form.
skelet666 [1.2K]

The y-value increases by 4 when the x-value increases by 2, so the slope is

... 4/2 = 2


Your equation for the line with slope m through point (h, k) is

... y - k = m(x - h)

and you have m = 2, (h, k) = (-6, 6)


Filling in those values gives

... y - 6 = 2(x - (-6))

7 0
3 years ago
The height of a triangle is 6x and the base is (3x + 10) cm. The area of the triangle is 816 sq. cm. What are the dimensions of
LiRa [457]

Answer:

Height: 48

Base: 34

Step-by-step explanation:

The formula for a triangle is 1/2(base)(height)

1/2(3x+10)(6x) = 816

18x² + 60x = 1632

18x² + 60x - 1632 = 0

Then, we use the Quadratic formula

x = (-60 ± √3600 + 117,504)/36

x =( -60 ± 348/36)

x = 288/36

x = 8

3(8) + 10

= 34

6(8) = 48

Therefore the dimensions are:

Height: 48

Base: 34

5 0
3 years ago
Other questions:
  • Determine the unit rate for the following problems : he pumped 54 gallons in 12 minutes
    7·2 answers
  • PLEASE HELP ME ASAP!!!!!!
    5·2 answers
  • 4 over 7 divided by 13 over 28
    14·2 answers
  • Solve the differential equation: dy/dx = 4y2x1/3
    15·1 answer
  • How many tens are in 120,000
    12·2 answers
  • Can someone please help quick!
    8·1 answer
  • What is the measure of Y? 4·9=36=36/4
    9·1 answer
  • I need help because I suck at this
    9·1 answer
  • How to do n to the power of 6 ÷n to the power of 4
    12·2 answers
  • BRAINLY EZ A sphere has a volume of 4,500/pi cubic feet. Find the radius of the sphere
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!