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
erma4kov [3.2K]
1 year ago
8

Simplify. final answer should be written in standard form (a+b)(3a-b)(2a+7b)

Mathematics
1 answer:
algol131 year ago
6 0

we have

(a+b)(3a-b)(2a+7b)

step 1

Solve

apply distributive property

(a+b)(3a-b)=3a^2-ab-3ab-b^2=3a^2-4ab-b^2

step 2

Multiply (3a^2-4ab-b^2) by (2a+7b)

6a^3+21a^2b-8a^2b-28ab^2-2ab^2-7b^3=6a^3+13a^2b-30ab^2-7b^3

answer is

<h2>6a^3+13a^2b-30ab^2-7b^3</h2>
You might be interested in
The standard IQ test is designed so that the mean is 100100 and the standard deviation is 1515 for the population of all adults.
Natalija [7]

Answer:

The sample size should be approximately 151.      

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 100

Population standard deviation, σ = 15

We have to evaluate the sample size, n.

Alpha, α = 0.10

Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64

100 \pm 1.64(\frac{15}{\sqrt{n}} ) = (98,102)

100 \pm 1.64(\displaystyle\frac{15}{\sqrt{n}} ) = (98,102)\\\\1.64(\frac{15}{\sqrt{n}} ) = 2\\\\n = 151.29 \approx 151

Thus, the sample size should be approximately 151.

6 0
3 years ago
Find the slope between the points (-8,-4) and (0,0).
Vadim26 [7]

Answer:

1/2

Step-by-step explanation:

slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}

(0-(-4))/(0-(-8)) = 1/2

7 0
2 years ago
PLEASSE HELP URGENT WILL GIVE BRAINLIEST FOR CORRECT ANSWER Brian wanted to find out if studying for the algebra test is effecti
Viefleur [7K]

Answer:

2/130 or 1/65

Step-by-step explanation:

64+4+2+60 (all the people) =130

Given the fact that ''2 learners studied but failed the test.'' Brian is the same.

So you would do 2/130 or simplify it, 1/65.

Hope it helps :)

6 0
3 years ago
Can someone help me out with this
babymother [125]
The answer would be x= 68 degrees
7 0
2 years ago
teresa repartee un chocolate entre sus hermanos. ella le dio 1/3 a miguel y 1/4 a diego. que parte de chocolate repartido teresa
jekas [21]

Answer:

Teresa tiene 1 chocolate.

Ella le da 1/3 del chocolate a Miguel, entonces ahora Teresa tendrá un chocolate menos un tercio de chocolate, es decir, ella tiene:

1 - 1/3 = 3/3 - 1/3 = 2/3 de un chocolate.

Ahora le da 1/4 a diego, entonces lo que le sobra va a ser:

2/3 - 1/4

recordar que tenemos que tener el mismo denominador en ambas fracciones, entonces podemos reescribir esto como:

(4/4)*(2/3) - (3/3)*(1/4)

(a cada fracción la multiplico y divido por el denominador de la otra)

8/12 - 3/12 = (8 - 3)/12 = 5/12

Es decir, Teresa finalmente tiene 5/12 del chocolate.

Entonces la parte de chocolate que repartió es lo que le falta, que se obtiene como:

1 - 5/12 = 12/12 - 5/12 = 7/12

Ella repartió 7/12 de su chocolate.

4 0
3 years ago
Other questions:
  • Solve the question. show your work. check your answer. 3x -7 = 5x + 19
    10·2 answers
  • HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ANSWER PLEASE AND GIVE A GOOD
    15·1 answer
  • (30 points)
    12·2 answers
  • <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B28%20-%20%20%5Csqrt%7B7%7D%20%7D%20" id="TexFormula1" title=" \sqrt{28 - \sqrt{7
    5·1 answer
  • PLEASE HELP
    11·1 answer
  • Please help me:)
    14·1 answer
  • Which statement about the annual percentage rate (APR) is true?
    10·2 answers
  • If m&lt;4 = 108 , what is the measure of &lt;6
    6·1 answer
  • Question 2(Multiple Choice Worth 4 points)
    13·2 answers
  • Brianna has 6 bags of soil. Filling one flowerpot requires 1/3
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!