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
nexus9112 [7]
3 years ago
11

Please assist with this problem. It is really difficult.​

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
4 0

\bf \textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{\stackrel{\textit{difference of squares}}{(x^3-y^2)(x^3+y^2)}+2y^4}\implies [(x^3)^2-(y^2)^2]+2y^4 \\\\\\ x^6-y^4+2y^4\implies \boxed{x^6+y^4}

Marysya12 [62]3 years ago
3 0

Answer:

a) (x^3-y^2)(x^3+y^2)+2y^4=x^6+y^4 is an identity.

Step-by-step explanation:

Most of the left hand sides are in this form:

(a-b)(a+b).

When you multiply conjugates you do not have to use full foil.  You can just multiply the first and multiply the last or just use this as a formula:

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

Choice a), b), and d). all have the form I mentioned.

So let's look at those choices for now.

a) (x^3-y^2)(x^3+y^2)+2y^4

(x^6-y^4)+2y^4  (I used my formula I mentioned above.)

x^6+y^4  

So this is an identity.

b)  (x^3-y^2)(x^3+y^2)

x^6-y^4 (by use of my formula above)

This is not the right hand side so this equation in b is not an identity.

d) (x^3-y^2)(x^3+y^2)+2y^4

(x^6-y^4)+2y^4

x^6+y^4

This is not the same thing as the right hand side so this equation in d is not an identity.

Let's look at c now.

c) (x^3+y^2)(x^3+y^2)

There is a formula for expanding this so that you could avoid foil. It is

(a+b)(a+b) \text{ or } (a+b)^2=a^2+2ab+b^2.

Just for fun I'm going to use foil though:

First: x^3(x^3)=x^6

Outer: x^3(y^2)=x^3y^2

Inner: y^2(x^3)=x^3y^2

Last: y^2(y^2)=y^4

---------------------------Add.

x^6+2x^3y^2+y^4

This is not the same thing as the right hand side.

You might be interested in
1 2 3 4 5 6 7 8 9 10
Elina [12.6K]

Answer:

(2x – 3)(5x^2 – 2x + 7)

=103−192+20−21

Hope This Helps!!!

4 0
3 years ago
Harry purchased 16 hinges for his kitchen project. They were each on sale for $3 off the regular price.
Zielflug [23.3K]
THE ANSWER IS 8 DOLLARS BCUZ 80/16 EQUALS 5, AND 5+3 EQUALS 8!!!!
3 0
3 years ago
Read 2 more answers
Find The Value Of X When 6-2x = 6x-10x+6. The Value Is
Natasha_Volkova [10]

Answer:

x = 0

Step-by-step explanation:

6 - 2x = 6x - 10x + 6

1. Isolate the variable (x)

  • Add 2x to both sides

    6 - 2x = 6x - 10x + 6 -> 6 = 6x - 10x + 2x + 6

  • Subtract 6 from both sides

    6x - 10x + 2x + 6 -> 0 = 6x - 10x + 2x

2. Combine like terms

      0 = 6x - 10x + 2x -> 0 = -2x

3. Solve

  • Divide both sides by -2

       0 = x

*Note: 0 divided by anything is 0 so 0/-2 is 0

(unless it is 0/0 which equals 1)

6 0
3 years ago
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually g
daser333 [38]

Answer:

C. F(x) = 4x² + 1

Step-by-step explanation:

→The function F(x) shifted 1 unit upwards, meaning there needs to be a 1 being added to the function.

→In addition, the function F(x) has grown narrower, compared to the function G(x). This is from the absolute value of a number being greater than 1, which is being multiplied.

<u>This means the correct answer should be "C. F(x) = 4x² + 1."</u>

8 0
3 years ago
Graph the line that goes through the point (-6,-2) with slope of 1
vekshin1

Answer:

<h2>Check out the image.</h2>

Step-by-step explanation:

Let, the equation of the straight line is y = mx + c; where m is the slope of the equation and c is the constant.

The line has the slope 1.

Hence, the equation becomes y = x + c.

Since, the line passes through (-6, -2), -2 = -6 + c or, c = 4.

Hence, the equation of the straight line becomes y = x + 4.

Putting x = 0, we get, y = 4.

The line passes through (0, 4).

7 0
3 years ago
Other questions:
  • I need to know the answer to part A and B
    10·1 answer
  • 20.There is an 80% chance David will eat a healthy breakfast and a 25% chance that it will rain. If these events are independent
    7·1 answer
  • What is the value of t? <br> 2<br> 3<br> 6<br> 8
    12·2 answers
  • Reiko started a business selling home medical supplies. She spent $6500 to obtain her merchandise, and it costs her $550 per wee
    9·1 answer
  • Interest = $45.60, Rate = 2%, Time = 4 years<br> What’s the principal to the nearest cent
    5·1 answer
  • The regular price is $24.50. Your discount is15% off. What is the sale price of your shirt?
    14·1 answer
  • It is computed that when a basketball player shoots a free throw the odds in favor of his making our 23 to 3 find the probabilit
    13·1 answer
  • PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
    14·1 answer
  • 2/7+1/7+1/7= answer plss
    10·2 answers
  • HELP PLEASE! (will be marking brainliest) What is the measure of FJG?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!