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
scZoUnD [109]
4 years ago
9

64a^3 b^3-125c^3 Which algebraic identity is used in this? Answer with steps

Mathematics
1 answer:
abruzzese [7]4 years ago
6 0

Answer:

64a^3b^3-125c^3=(4ab-5c)(16a^2b^2+40abc+25c^2)

Step-by-step explanation:

You have the following polynomial:

64a^3b^3-125c^3

This expression is of the form:

x^3-y^3

that is, a difference between cubes. The factorization of such a polynomial is given by:

x^3-y^3=(x-y)(x^2+2xy+y^2)

You apply the last expression to the polynomial given in the problem. But first you have:

x^3=64a^3b^3\\\\y^3=125c^3\\\\x=4ab\\\\y=5c

finally, you obtain:

64a^3b^3-125c^3=(4ab-5c)((4ab)^2+2(4ab)(5c)+(5c)^2)\\\\64a^3b^3-125c^3=(4ab-5c)(16a^2b^2+40abc+25c^2)

You might be interested in
How many solutions does the system of equations have?
Nana76 [90]
One solution x = 1, y = 4
3 0
3 years ago
Phil has 7 quarts of hot chocolate to give to his classmates how many of those classmates can have one cup of hot chocolate
olganol [36]
4 quarts per cup, so 7*4= 28 of his classmates can have one cup.
7 0
3 years ago
NEED HELP WITH A MATH QUESTION
Nana76 [90]

Answer:

Step-by-step explanation:

The total number of orders for large is 27

the probability of ordering something hot is 22/27=0.8148

to convert to percentage, multiply by 100: 0.8148*100=81.48%. rounded = 81%

6 0
3 years ago
Read 2 more answers
Slope=2 passing through (-5,3)
tekilochka [14]
I hope this helps you



2 (-5-x)= 3-y



-10-2x=3-y



y=2x+13
6 0
4 years ago
Tell whether the ratios form a proportion. 14:8 and 28:10
Dima020 [189]

Answer:

no

Step-by-step explanation:

14:8 = 14/8 = 7/4

28:10 = 28/10 = 14/5

Since the fractions are not equal, it is not a proportion.

Answer: no

5 0
2 years ago
Other questions:
  • An oil storage tank is a cylinder with a height of 50 feet and a diameter of 20 feet. What is the volume of the tank? Use 3.14 f
    13·2 answers
  • These are 2 seperate problems and i need to show work on both of them.. please help?
    12·1 answer
  • The turkeys, Quincy, Lucy, Prudence and John, are making a pumpkin pie and each add a different ingredient. When the pie is fini
    8·2 answers
  • 1/8 of a number is 10 less than 1/3 of the number find the number
    9·1 answer
  • Brent purchased a used vehicle that depreciates under a straight-line method. The initial value of the car is $7500, and the sal
    15·1 answer
  • Solve the inequality -1/2x>2 and write the solution using:
    8·2 answers
  • Ayoooo somebody please help me! 20pointss
    8·1 answer
  • 1. What’s the slope?
    12·1 answer
  • Which of the following statements is true about a distribution that appears to have a gap when displayed as a histogram?
    6·1 answer
  • Multiply: 3x4=<br> and 2 x 3 =
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!