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
tatyana61 [14]
2 years ago
6

How to factorise 8a3-b3​

Mathematics
2 answers:
olasank [31]2 years ago
7 0

Answer:

(2a - b)(4a² + 2ab + b²)

Step-by-step explanation:

8a³ - b³ ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , thus

8a³ - b³

= (2a)³ - b³

= (2a - b)((2a)² + 2ab + b² ), that is

(2a - b)(4a² + 2ab + b²)

max2010maxim [7]2 years ago
5 0

Answer:

Step-by-step explanation:

You might be interested in
Multiply 12 by the sum of 8 and "t"
Katen [24]
Mathematically, that is 12(8+t). Distribute the 12, and you get 96 + 12t, or 12t + 96.
3 0
3 years ago
What is the average rate of change from -3 to 0 of the function represented by the graph?
lbvjy [14]

Average rate of change = change in y ÷ change in x

We already know the change in x because we are measuring the x values from -3 to 0.

change in x = 0-(-3) = 3

To find the change in y find the difference between the corresponding y-values when x=0 and when x=-3.

change in y = 0.5-2 = -1.5

average rate of change = -1.5/3 = -0.5

answer: -0.5

3 0
3 years ago
Find the equation of the line passing through the given points. Express the equation in standard form.
Artyom0805 [142]

We want to write the equation of the line passing through these two points in standard form.

First, we are going to do this in slope intercept form and then change the form to standard form, which is Ax + By = C

We will use the equation y = mx + b, and since we are given two points on the line we are going to determine the slope of the line by determining the  change in the y coordinates

m = y sub2  - y sub1 divided by the change in the X coordinates  x sub2 – x sub1              

We will start by determining the slope

(1, -6) the 1 is x sub 1  and the 6 is y sub 1

(-7, 2) the -7 is x sub 2 and the 2 is y sub 2

2 - (-6) = 8

-7 -1 = -8

so equation now is m = -1

So now again referring back to the slope intercept of the line we now know y = -1 + b.  We still have to determine b and the y intercept, and we can do this by using one of the given points and substituting in the value for y and x, and then solve for b.  Since these points are on the line, they must satisfy this equation.  If we use the first coordinates, we would substitute 1 for x and -6 for y.  

-6 =  -1 times x, which is 1 + b

b = -5

construct the line equation y = mx + b where m = -1 & b = -5

In slope intercept form the equation would be y = -x - 5

Now we want to write this in standard form now.  We have to deal with two things.  The x and y terms have to be on the left side and A and B and C have to be integers.  

The standard form of a linear equation is Ax + By=CA x + By = C .   Move all terms containing variables to the left side of the equation.

Add x to both sides of the equation.

y + x = -5

Reorder y & x

x + y = -5

3 0
3 years ago
Which angles are alternate exterior angles with angle 11?
Elena-2011 [213]

The above questions answer is 8 and 14

8 0
3 years ago
Thanks if you help.....
marissa [1.9K]

Answer:

I'm guessing it's D.

Step-by-step explanation:

Sorry if wrong :> Hope i helped! Have a awesome day!!! You're a great hooman ^_^ Please mark brainliest !!

5 0
2 years ago
Other questions:
  • "isotherms are drawn at regular intervals; on this map, the interval between successive isotherms is ______ fahrenheit degrees."
    7·1 answer
  • What is the solution to this system of linear equations: <br> y-x=4 and y+2x=1
    11·1 answer
  • You calculate the number of spots on a pair of two dice that you roll, sides facing up (the total can be called "x"). this is al
    15·1 answer
  • A line is defined by the equation y = negative x + 3. Which shows the graph of this line? On a coordinate plane, a line goes thr
    8·1 answer
  • Slope: ( -1, 5 ) and ( 2, -3 ).
    10·2 answers
  • What is 6 times negative 2
    15·1 answer
  • Which quantity is best expressed as +5?
    5·1 answer
  • Sam and Bethan share £54 in the ratio of 5:4. Work out how much each person gets
    6·1 answer
  • A shade of green paint is made by mixing 2 cups of
    8·1 answer
  • 44% of the 25 buildings in the Forum are preserved. How many buildings are preserved?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!