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
Nesterboy [21]
3 years ago
10

7a3+56b3 factorize it plsss​

Mathematics
1 answer:
nignag [31]3 years ago
6 0

Answer:

7(a + 2b)(a² - 2ab + 4b²)

Step-by-step explanation:

Given

7a³ + 56b³ ← factor out 7 from each term

= 7(a³ + 8b³) ← sum of cubes which factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

8b³ = (2b)³ ⇒ b = 2b

a³ + 8b³ = (a + 2b)(a² - 2ab + (2b)²) = (a + 2b)(a² - 2ab + 4b²)

Hence

7a³ + 56b³ = 7(a + 2b)(a² - 2ab + 4b²) ← in factored form

You might be interested in
Standar error A police officer would like to estimate the proportion of petty theft cases that have gone unsolved in a large cit
V125BC [204]

Answer:

0.625± 1.645*0.0571

Step-by-step explanation:

First calculate the estimate as 72 petty cases and 45 are unsolved as follows :

estimate :72/45=0.625

the critical value is given by cumulative probability equal to the  p* (critical probability) as ,

1)compute value for alpha =1-(confidence value /100).

                                           =1-(90/100)=0.1

for critical probability as p*=1 - (alpha/2)=1 -(0.1/2)=0.95

for this critical value is denoted to central area ,

Z(alpha)=1.645

now the standard error :

s=\sqrt{\frac{p*q}{n} }    here p is estimate and q is probability of failure and n is total no of          cases                  

 s=\sqrt{\frac{0.625*375}{72} }  =0.0571.

8 0
4 years ago
What is 35 square root rounded to the nearest tenth
Oksana_A [137]
The square root of 35 is 5.91.
3 0
3 years ago
X is 21 more than 21
Alenkinab [10]
X +21 > 21
x can be anything except 0
6 0
4 years ago
Read 2 more answers
Drew purchased 3 books each with a different price for $24 the cost of each book was a multiple of 4 what could be the prices of
Verizon [17]
$4, $8, and $12 because each is a multiple of 4 (4x1=4, 4x2=8, 4x3=12) and they all add up to 24.
4 0
3 years ago
A item in a shop is increased in price by 20% and then decreased in price by 20% a month later.
oee [108]

Answer:

Decrease of 4% ($4).

Step-by-step explanation:

Suppose the initial price was $100. An increase of 20% will make the price $120.

Now we decrease it 20% which brings it to 120 - 0.20 * 120

= 120 - 24

= $96.

So that's an overall decrease of $4 or 4%.

7 0
4 years ago
Other questions:
  • You are purchasing a home for $145,000.In order to get a 30 year fixed mortgage rate of 4.5%, the bank requires a 20% down payme
    9·1 answer
  • Determine whether the two variables are related in a way that might be described by a function. If the situation could be descri
    10·1 answer
  • What is $10 divided $0.26
    14·2 answers
  • Barry owns a music store, He recorded the sales of a newly launched album as part of his biweekly inventory. The table shows the
    15·2 answers
  • 14m-13m=17 what is m please help me!!!!
    13·2 answers
  • Diep bought a baguette loaf of bread 65 centimeters long. For lunch every afternoon, he cuts 15 centimeters of bread for his
    9·2 answers
  • Four milliliters of ink A is added to 10 milliliters of ink B, forming a mixture of inks. Ink A contains 10% blue pigment. Ink B
    15·1 answer
  • Which scenario could be represented by the value −8 ? Select each correct answer. A puppy gains 8 pounds. The temperature is 8 d
    13·2 answers
  • Can someone please help me with this algebra
    6·1 answer
  • What is the supplement of 12
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!