All categories

2 years ago

LCM of a2+b2 and a4-b4

Mathematics

1 answer:

Zarrin [17]2 years ago

4 0

Answer:

The LCM is:

$(a^2+b^2)(a+b)(a-b)$

Step-by-step explanation:

Given polynomials are:

$a^2+b^2\\a^4 - b^4$

We can use factorization to find the LCM of the given polynomials.

Taking the second polynomial, using the identity

$a^2 - b^2 = (a+b)(a-b)$

Applying on 2nd polynomial

$(a^2)^2-(b^2)^2\\=(a^2+b^2)(a^2-b^2)\\=(a^2+b^2)(a+b)(a-b)$

We can see that $a^2+b^2$ is common in both polynomials, it will be counted only one time. The LCM of given polynomials is:

$(a^2+b^2)(a+b)(a-b)$

You might be interested in

A hotel manager records the number of bookings made at various prices during July.What type of correlation does the graph show?

Usimov [2.4K]

Answer:

below

Step-by-step explanation:

if positive increases

if negative decreases

3 0

2 years ago

The evening host of a dinner dance reached into a bowl, mixed all the tickets around, and selected the ticket to award the grand

Scilla [17]

Answer:

Simple random sampling method is used here.

Step-by-step explanation:

Given is that the evening host of a dinner dance reached into a bowl, mixed all the tickets around, and selected the ticket to award the grand door prize.

We can see that this is a simple random sampling method as every name on the ticket has an equal opportunity to get selected.

8 0

2 years ago

Angelo's Pizza is having a ticket raffle to raise money for new soccer uniforms. A $1 ticket gives an even chance to win $25 gif

Bingel [31]

Answer:

$1-25-15-5=44$

Step-by-step explanation:

7 0

2 years ago

Mr. Lobo is building a fence rectangular around his rectangular yard. It is 16 feet long and 14 feet wide. How much feet of feet

lawyer [7]

Answer:

Step-by-step explanation:

14+16 1. Break it down 14 is equal to 10+4 16 is equal to 10+6 2. Add the biggest numbers together first 10+10 = 20 3. Add the smaller numbers together 6+4 = 10 4. Add all of the numbers together 20+10 = 30

4 0

2 years ago

N(17+x)=34x−r<br> I need to solve for x

Paraphin [41]

Answer:

The value of x is, $x= \frac{17N+r}{34-N}$

Explanation:

Given: $N(17+x)=34x-r$

Distributive Property states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately.

If $a\cdot(b+c) =a\cdot b + a\cdot c$