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
Roman55 [17]
2 years ago
13

( a+ b) ( a- b) ( a square + 4 square )​

Mathematics
2 answers:
ale4655 [162]2 years ago
6 0

Answer:

\sf a^4 +16a^2 -b^2 a^2 -16b^2

Explanation:

\sf ( a+ b) ( a- b) ( a^2 + 4^2)

expand

\sf (a^2-ba+ba-b^2 ) ( a^2 + 16)

simplify

\sf (a^2-b^2 ) ( a^2 + 16)

expand

\sf a^4 +16a^2 -b^2 a^2 -16b^2

Flura [38]2 years ago
3 0

Solution:

<u>Note that:</u>

  • Given expression: (a + b)(a - b)(a² + 4²)

Formula: (a + b)(a - b) = a² - b²

<u>Simplify the expression using the formula.</u>

  • (a + b)(a - b)(a² + 4²)
  • => {(a + b)(a - b)}(a² + 4²)
  • => (a² - b²)(a² + 16)
  • => a⁴ + 16a² - a²b² - 16b²
You might be interested in
Find the number of sides of a regular polygon if one interior angle is 60 degrees
Vikentia [17]
The answer would be 3.

Hope this helps!
8 0
3 years ago
Read 2 more answers
Given a line segment containing the points A,B, &amp; C, in order, if AB is 11 and BC is 12, then the length of AC would
Shalnov [3]

Answer: 23

Step-by-step explanation:

AB + BC = AC

AC = 11 + 12 = <u>23</u>

4 0
2 years ago
Which function is the inverse of f(x) = -5x- 4?
almond37 [142]

Answer:

Inverse of  - 5 x - 4 = \frac{x + 4}{5}

Step-by-step explanation:

Let y = -5x-4

Swap y and x

x = -5y -4

Solve for y

x+4 = -5y

y=- \frac{x + 4}{5}  which is the inverse

3 0
2 years ago
What is the volume of a small cone if:
Amiraneli [1.4K]

Answer:

Volume of smaller cone =301.44

Step-by-step explanation:

First let angle of cone be\alpha.

then sin(\alpha ) = 3/5       (For bigger triangle)

Same cone angle is for smaller one because they are similar.

cos(\alpha ) = 4/5

Now for smaller cone radius be R

3/5 =R/Slant height

Slant height =5/3R

Lateral surface area =\frac{1}{2}R^{2}\beta  [R = slant height]  

Given lateral surface area =60\pi =\frac{1}{2}(\frac{5R}{3} )^{2} \beta   ...................................1

2\pi R=\frac{5R}{3}\beta        ................................................2

\beta=\frac{6\pi }{5}

Put angle beta in equation 1 and find the value of R

R =6 cm

Height =\frac{4R}{3}

Thus volume =\frac{1}{3}\pi6^{2}*8

                     =301.44

4 0
3 years ago
How can I find the prime factorization of a number with an easy explanation?
mezya [45]

Answer:

Step-by-step explanation:

Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers.                                                                 Step 2: Write the number as a product of prime numbers.

4 0
2 years ago
Other questions:
  • Jason will you need a 130 gallon picture to fill an empty 340 gallon water jug how much water will you need in order to complete
    14·1 answer
  • What is 5 3/20 as a decimal?
    13·1 answer
  • In the figure below, angle ABD measure 41°. what is the measure of angle ABC?
    15·1 answer
  • I have 2 seperate pairs of = sides l. My equal sides are next to each other. My four sides cannot be equal. What am I?
    14·1 answer
  • What is -3/2 times (-5 1/4)
    13·1 answer
  • Determine whether the triangles are similar. If so, what are the similarity statement and the postulate or theorem used?
    10·1 answer
  • How do you Solve the proportion 4/n = 4/5
    12·2 answers
  • The graph shows the calling charges of two cell phone companies. At how many minutes do the two companies charge the same amount
    11·2 answers
  • Will give brainliest to whoever answers first
    14·1 answer
  • Thę grades on a math midterm at Springer are roughly symmetric with u = 72 and 0 = 4.5.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!