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fgiga [73]
2 years ago
11

Factorize that x^4+4y^4​

Mathematics
1 answer:
ipn [44]2 years ago
4 0

Answer:

  • (x² + 2y² + 2xy)(x² + 2y² - 2xy)

Step-by-step explanation:

<h3>Given binomial:</h3>

x⁴ + 4y⁴

In order to factorize it, follow the steps:

<h3>Complete the square:</h3>

  • x⁴ + 4y⁴ =
  • (x²)² + 2*(x²)*(2y²) + (2y²)² - 2*(x²)*(2y²) =
  • (x² + 2y²)² - (2xy)² =
  • (x² + 2y² + 2xy)(x² + 2y² - 2xy)

Used identities:

  • (a + b)² = a² + 2ab + b²
  • a² - b² = (a + b)(a - b)
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Expand and simplyfy 4(2x+3) +4(3x+2)
Aleonysh [2.5K]

Answer:

x=1 I'm not sure if I'm correct

Step-by-step explanation:

4x2x=8x

4x3=12

4x3x=12x

4x2=8

8x+12=12x+8

8x-12x= 8-12

-4x=-4 divide -4x in both side so the answer should be x=1

4 0
3 years ago
Create a pattern with the rule n - 4
Natalka [10]

The pattern of rule n-4 can consist of several numbers depending on the value of n (integer, whole number, natural number or prime number)

<h3>Further explanation </h3>

Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.

The main composition of algebraic expressions are:

• 1. phrases

algebraic forms separated by arithmetic operations

consists of one phrase (monomial) to many phrases (polynomial)

• 2. variable

is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.

• 3. constants

is a fixed value, can be a number

• 4. arithmetic operations

operations {\displaystyle \boxed {+}, \boxed {-}, \boxed {:}, \boxed {x}}

Numbers in mathematics can be divided into several terms

  • 1. integer

numbers consist of positive, negative and 0 numbers

  • 2. natural numbers

numbers consisting of positive numbers, starting with number 1

  • 3. whole number

a number consists of positive numbers and zeros

  • 4. prime number

numbers that can only be divided by numbers themselves and the number 1

And examples of other numbers such as imaginary numbers, real numbers, rational numbers, etc.

Integers themselves consist of

  • 1. positive integers

the number to the right of the number 0 is 1,2,3 ...

  • 2. negative integers

the numbers to the left of the zeros are -1, -2, -3 ...

  • 3. number 0

n-4 is an algebraic form

the pattern is generated from rule = (n-4)

There are several possible values ​​of n that can be entered to form a pattern

  • if it's an integer, the value of n = let's say -3, -2, -1,0,1,2,3

pattern = -7, -6, -5, -4, -3, -2, -1, ...

  • if it's a natural number then the value of n = let's say 1,2,3

pattern = -3, -2, -1, ...

  • if it's a whole number then the value of n = let's say 0,1,2,3

pattern = -4, -3, -2, -1, ...

  • if it's prime number then the value of n = let's say 2,3,5,7 ...

pattern = -2, -1,1,3, ....

<h3>Learn more </h3>

Express 0.000431 L answer as an integer

brainly.com/question/10876135

type of number

brainly.com/question/12788761

Classify the number as a natural, whole, integer, rational, or irrational.

brainly.com/question/2731293

 

Keywords: natural, whole, integer, prime, number

5 0
3 years ago
Read 2 more answers
A farmer uses a grain bin which is made up of a cone on top and a cylinder at the
siniylev [52]
The answer is c bkuz it’s right
4 0
3 years ago
Write a function rule that gives the total cost c(p) of pounds of sugar if each pound cost $.59
aliina [53]
Answer: c(p) = 0.59*p

All we do is multiply the price per pound (0.59) by the number of pounds (p). In this case, we don't know how many pounds there are. So we leave p as is. If for instance, we had 10 pounds, then we'd replace p with 10. The variable is simply a placeholder for the unknown number.
4 0
3 years ago
The sides OP and RO of triangle POR are produced to points S and T respectively. If ∠SPR = 145° and ∠POT = 115° , find ∠PRO
Margarita [4]

Answer:

\angle PRQ = 80

Step-by-step explanation:

Given

\angle SPR = 145^o

\angle POT = 115^o

See attachment

Required

Find \angle PRO

First, calculate \angle RPO

\angle RPO + \angle SPR = 180 --- angle on a straight line

So, we have:

\angle RPO + 145 = 180

Collect like terms

\angle RPO = 180 - 145

\angle RPO = 35

Next, calculate PQR

\angle POR + \angle POT = 180

So, we have:

\angle POR + 115 = 180

Collect like terms

\angle POR = 180-115

\angle POR = 65

So, PRO is calculated as:

\angle PRO + \angle POR + \angle RPO = 180 --- angles in a triangle

So, we have:

\angle PRO + 65 + 35= 180

\angle PRO + 100= 180

Collect like terms

\angle PRO = 180-100

\angle PRO = 80

3 0
3 years ago
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