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
Aleks04 [339]
3 years ago
12

Explain how you can prove the difference of two cubes identity. a^3 – b^3 = (a – b)(a^2 + ab + b^2)

Mathematics
2 answers:
11111nata11111 [884]3 years ago
6 0
Is this a mutiple choice or is this a  give an example type deal

julsineya [31]3 years ago
4 0
I already calculated this

Let a^3 - b^3 = ?

Add on both th side -3a^2b + 3ab^2

a^3 -3a^2b + 3ab^2 -b^3 = ?

-3a^2b+3ab^2

The firs equation is = (a - b)^3

Then,

(a - b)^3 = ? + 3a^2b - 3ab^2

Passing -3a^2b + 3ab^2 to the left side:
But changing the sinal

? = (a - b)^3 + 3a^2b - 3ab^2

? = (a - b)^3 + 3ab ( a - b)

Putting (a - b) as commun factor

? = (a - b).[ 3ab + (a - b)^2 ]

As (a - b)^2 = a^2 - 2ab + b^2

Then,

? = (a - b).[ 3ab + a^2 -2ab +b^2]

? = (a - b).( a^2 + ab + b^2)

I hope this has helped
You might be interested in
The ratio of clown fish to angel fish at a pet store is 5:4 . The ratio of angel fish to gold fish is 4:3. There are 60 clown fi
SVEN [57.7K]
A)     60 Clown fish / 5 = 12
        12 x 4 = 28 Angel fish
B)     28 Angel fish / 4 = 12
        12 x 3  = 36 Gold fish
C) Add all fish   28 Angel fish + 36 Gold fish + 60 Clown fish = 124 Fish in total
4 0
3 years ago
What is the slope of the line passing through (-2, 4) and (3,-4) ​
mariarad [96]
hold on i will send in the comments i’m working on it rn
5 0
2 years ago
Help please tell me what the answer is ASAP
Amiraneli [1.4K]

Answer:

The approximated length of EF is 2.2 units ⇒ A

Step-by-step explanation:

<em>The tangent ratio in the right triangle is the ratio between the opposite side to the adjacent side of one of the acute angle in the triangle</em>

In the given figure

∵ The triangle DFE has a right angle F

∵ The opposite side to angle D is EF

∵ The adjacent side to angle D is DF

→ By using the tangent ratio above

∴ tan(∠D) = \frac{EF}{DF}

∵ DF = 6 units

∵ m∠D = 20°

→ Substitute then in the ratio above

∴ tan(20°) = \frac{EF}{6}

→ Multiply both sides by 6

∴ 6 tan(20°) = EF

∴ 2.183821406 = EF

→ Approximate it to the nearest tenth

∴ 2.2 = EF

∴ The approximated length of EF is 2.2 units

7 0
3 years ago
(4₊√₋81)₋(9₊√₋9) i cant resolve this equation. thanks for help
bezimeni [28]

The question can't be solved because we can't have negative sign under square root

8 0
2 years ago
Read 2 more answers
What is the value of (5^3)^1=? without any exponents.
hodyreva [135]

Answer:

the answer is 125

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • 1. alicia and jamal completed the following "
    10·2 answers
  • A pair of jeans is priced at $30. If you mark it down by 20% what is the new price of the jeans?
    14·1 answer
  • What is 1+4<br> a)2<br> b)3<br> c)4<br> d)5
    12·2 answers
  • What are the complete factors of the polynomial 7x - 7?​
    7·1 answer
  • 4x+5&gt;49<br> what is the answer to this
    8·2 answers
  • Suppose y varies directly as x. If x = 24 when y = 8, find y when x = 33.
    14·1 answer
  • I need help pls ;-;?
    11·1 answer
  • Someone help and plz make sure it’s right
    15·1 answer
  • I will do anything for a legit answer plsssssss
    5·1 answer
  • Jan 18 Spiral Review<br> Find the surface area of the following complex shapes.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!