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
wlad13 [49]
2 years ago
14

Tomas learned that the product of the polynomials

rmula1" title="(a+b)(a^2-ab+b^2)" alt="(a+b)(a^2-ab+b^2)" align="absmiddle" class="latex-formula"> was a special pattern that would result in a sum of cubes, a^3+b^3.
His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a=2x and b=y.
Mathematics
1 answer:
Liula [17]2 years ago
3 0

We are provided , Tomas learned <em><u>that a³ + b³ = (a + b ) ( a² - ab + b² )</u></em> , and his teacher writes four products on the board and we have to tell that which product suits the best if <em><u>a = 2x</u></em> and <em><u>b =</u></em><em><u> </u></em><em><u>y</u></em>

Now , putting a = 2x , b = y in the given formula we have :

{:\implies \quad \sf (2x)^{3}+(y)^{3}=(2x+y)\{(2x)^{2}-2\cdot x\cdot y+(y)^{2}\}}

{:\implies \quad \bf \therefore \quad \underline{\underline{(2x)^{3}+(y)^{3}=(2x+y)(4x^{2}-2xy+y^{2})}}}

Hence , The product <em>(2x+y) (4x²-</em><em>2</em><em>xy+y²)</em> would result in the sum of cubes of 2x & y :D

You might be interested in
Which list shows the numbers in order from least to greatest?
nata0808 [166]

Answer: second one (B) - 2.045, 2.43, 259


Step-by-step explanation: 2.045 is the lowest value due to the 0 in the hundredths place. 2.43 has a lower value than 259, it being a decimal.


7 0
3 years ago
Chan wants to buy a used car that costs $8,500. He took out a loan for the cost of the car, and his payments are $209 per month
Leto [7]
Multiply 209 by 12 to find one year which is 2508
Multiply 2508 by 4 to find 4 years which is 10032
Subtract 8500 from 10032 which is 1532
So he paid 1532 more than the cars original price
I hope thats understandable!
3 0
3 years ago
Read 2 more answers
The product of 162 and m is the same as 17
elena-s [515]

Answer:

No

Step-by-step explanation:

Just took a test

5 0
3 years ago
Solve: negative 1 over 2x + 1 = −x + 8
marusya05 [52]
Equation: -1/2x + 1 = -x + 8

Work:

-x/2 + 1 = -x + 8

1 - x/2 = -x + 8

1 - x/2 = 8 - x

2 - x = 16 - 2x

-x = 16 - 2x - 2

-x = 2x + 14

-x + 2x = 14

x = 14

Final Answer:

x = 14
8 0
3 years ago
Is 13 over 6 irrational number
mojhsa [17]

Answer: It is a rational number as irrational number is a number that cannot be expressed as a fraction for any integers.

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What are the zeros of the quadratic function f(x) = 6x2 + 12x – 7?
    11·2 answers
  • I need help on this what is the distributive property of 16+48
    7·2 answers
  • What is the final elevation of a bird starts at 20m and changes 16m
    15·1 answer
  • Please explain in depth​
    5·1 answer
  • 1. Multiply: (3x - 6)(2x + 7)
    15·2 answers
  • Ivan flips a coin 40 times, How many times can he expect head to appear?
    13·2 answers
  • NEED ANSWERS NOW!!!
    10·1 answer
  • Helppppp please will give brainlist ​
    12·1 answer
  • The midpoint of a segment is (2, -8) and one of the endpoints is (3,6). What are the coordinates of the other endpoint?
    11·1 answer
  • A lawn sprinkler sprays water 5 ft in every direction as it rotates. What is the area of the sprinkled lawn?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!