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
creativ13 [48]
3 years ago
9

What is the factorization of 729^15+1000​

Mathematics
1 answer:
Nesterboy [21]3 years ago
3 0

\bf \textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) \\\\ a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} 729=27^2\\ \qquad (3^3)^2\\ 1000=10^3 \end{cases}\implies 729^{15}+1000\implies ((3^3)^2)^{15}+10^3 \\\\\\ ((3^2)^{15})^3+10^3\implies (3^{30})^3+10^3\implies (3^{30}+10)~~[(3^{30})^2-(3^{30})(10)+10^2] \\\\\\ (3^{30})^3+10^3\implies (3^{30}+10)~~~~[(3^{60})-(3^{30})(10)+10^2]

now, we could expand them, but there's no need, since it's just factoring.

You might be interested in
Please help!! :) .....
Inessa05 [86]

Answer:

*helps*

Step-by-step explanation:

done (:P)

6 0
2 years ago
The grid you see below is in the shape of a rectangle. What is the area, in square units, of the shaded part?
kherson [118]

Answer:

8 units²

Step-by-step explanation:

The area (A) of the shaded part (right triangle ) is calculated as

A = \frac{1}{2} × area of rectangle

   = 0,5 × 4 × 4 = 0.5 × 16 = 8 units²

5 0
2 years ago
Read 2 more answers
URGENT!!!!!<br> With workings
Aneli [31]
There’s probably an easier way to do it like with the equation to find the area of a trapezoid but i did it this way bc it’s easier for me

i split the trapezoid into a triangle and a square
with the pythagorean theorem i found the missing side length to find the area of the square (length X width)
then found the area of the triangle (base X height divided by 2)

THE ANSWER IS 68.9 CM

6 0
3 years ago
Read 2 more answers
Write 9.55 as a mixed number
jeka57 [31]

9.55 as a mixed number would be 9 11/20.

9.55 = 9 55/100 = 9 11/20

Hope this helps !

7 0
2 years ago
1,1,4,3,9,6,16,10,25,15,
Butoxors [25]

what are we suppose to do in this?

6 0
3 years ago
Other questions:
  • Anthony biked and ran a total of 35 miles. If anthony biked one less that twice as far as he ran, how far did Anthony bike?
    6·2 answers
  • 46. In the word "percent", the "cent" represents what number?
    11·2 answers
  • Identify the y intercept and asymtote for the exponential function f(x)=3^x+2
    14·1 answer
  • Prove that cos^3x+3cos2x= 4 (cos^6 x-sin^6x)
    15·1 answer
  • Find the radius of a circle whose circumference is 31.4 centimeters. Approximate Π as 3.14.
    5·2 answers
  • 42 = -7 ( Z - 3 )<br> Z =?
    12·1 answer
  • What are Egyptian contributions
    9·2 answers
  • Ms. Johnson’s class running a food drive . The 20 students collected 180 cans .
    6·1 answer
  • The probability that an event will occur is 2/3. which one of these best describes the likelihood of the event occurring?
    14·1 answer
  • Bonjour, vous pouvez m'aider pour mon devoir de maths Quelle la valeur exacte de la longueur d'un cercle de rayon 7 m
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!