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
Mumz [18]
3 years ago
14

Can you solve this in a good way please

Mathematics
1 answer:
IRINA_888 [86]3 years ago
8 0

Answer:

5/2 x^2y^2

Step-by-step explanation:

( x^2 - 3/5y^2)^2 + (3/4 x^2 + 4/5 y^2)^2 - (5/4x^2 - y^2)^2

=  x^4 - 6/5x^2y^2 + 9/25y^4 + 9/16x^4 + 6/5x^2y^2 + 16/25y^4 - ( 25/16x^4

- 5/2x^2y^2 + y^4)

Distributing the negative over the parentheses:-

=  x^4 - 6/5x^2y^2 + 9/25y^4 + 9/16x^4 + 6/5x^2y^2 + 16/25y^4

- 25/16x^4

+  5/2x^2y^2 - y^4

Bringing like terms together

x^4 + 9/16x^4 - 25/16x^4 - 6/5x^2y^2 + 6/5x^2y^2 +  5/2x^2y^2   +  16/25y^4 + 9/25y^4

- y^4  

Adding like terms:-

= 5/2 x^2y^2  Answer

You might be interested in
HELP HELP HELP
Solnce55 [7]

Answer:

Step-by-step explanation:

2. Given a point with integral coordinates (a, b):

   <em>Vertical line that contains (a, b):</em>

       So here it's not to hard, all you have to understand, is what a vertical line is. If you were to draw a vertical line, you would notice that the x-values remain constant, and the only thing that changes is the y-value. So you're going to have an equation as such: x=a, where a is some constant value, and y is literally anything. So in this case b doesn't matter. The only thing that matters is that x=a. Which is the equation. As long as x is equal to a, it should pass through (a, b)

   <em>Horizontal line that contains (a, b):</em>

<em>        </em>So this is very similar to the vertical line, as one of the values is constant, although the variable that's constant is different. If you were to draw a horizontal line, you would notice the x is changing, but the y-value isn't. This means the y is going to equal to constant value, which may look something like: y=b, which is the equation in this case, since as long as y=b, then the x should at some point equal a on the horizontal line

Why is it impossible to write the equation of a vertical line in slope-intercept form:

   As mentioned before, in a vertical line, the only thing that varies is the y-value, so if you wrote a vertical line as such: y=mx+b, then the x-value would have to vary. But if we were to put restrictions on the equation so that x can only equal some constant value, that means y would only be one point, but if you draw a vertical line, you would know that the y-value is all real numbers (unless of course you put some range restriction), but even then it's going to be more than one number. The other thing is to write an equation in slope-intercept form, you need to know the slope. which is defined as \frac{y_2-y_1}{x_2-x_1}. and by definition a vertical line only varies in y-values and not x. The value of x is defined in the constant equation: x=a. So the slope would be defined as: \frac{y_2-y_1}{a-a} = \frac{y_2-y_1}{0} = \text{undeefined} ("I typed undefined wrong intentionally since it won't let me type it for some reason"). anyways the point is you can divide by 0. So main takeaways: the x-value can't vary, the formula has to output all real numbers for the y-value (unless some range restriction), the slope will have 0 as the denominator since x doesn't vary meaning x_2 - x_1 will = 0, because x_2 = x_1 (because x doesn't vary)

Given an equation in point slope form, explain how to determine the coordinate of the y-intercept:

   There are two ways to do this. The point slope form is expressed as such: y-a = m(x-b). But the m can be distributed so the equation becomes y-a = mx-mb and then add "a" to both equations to get y=mx -mb+a, in this case (0, -mb+a) will be the y-intercept, because if you plug in x as 0, mx will become 0 and it will leave these two values. You could also just of course plug in 0 as x in the point slope intercept form: y-a = m(x-b) and then solve for y. This gives the same result as it simplified to y-a = m(-b) which becomes y-a=-mb which then becomes y=-mb+a.

5 0
1 year ago
Change this equation to standard form <br> Y= (5x - 2) (x - 5)
Nutka1998 [239]

Y= (5x - 2) (x - 5) in standard form should be Y= 5x^2 -27x +10

4 0
3 years ago
What are the coordinates of the vertex for f(x) = 2x2 + 4x + 9?
Vlada [557]
Your equation f(x)=2x^2+4x+9 is in the form y=ax^2+bx+c
The vertex only relies on "a" and "b" though, so that +9 doesn't really matter in this case.  The vertex of a parabola is located where 
x=\frac{-b}{2a}=\frac{-4}{2(2)}=-1
So your x-coordinate is -1.  You need to find f(-1) to find your y-coordinate, and then you list it in the form (-1, y).
5 0
2 years ago
Read 2 more answers
Which prime number do the prime factorization of 130 and 165 have in common?
Marizza181 [45]

Answer:

They both have the #5 and they both have 3 #'s that are prime?

Step-by-step explanation:

5 0
3 years ago
I need help with geometry
Ad libitum [116K]
Same, i need help with geometry too :(
8 0
3 years ago
Other questions:
  • Help Math All the Points i have
    8·1 answer
  • Some one pls help ASAP I’m begging. (Please show work, just number 7.)
    5·1 answer
  • In the accompanying diagram of parallelogram ABCD, diagonals AC and intersect BD at E, LaTeX: BE=2x B E = 2 x and LaTeX: ED=x+10
    11·1 answer
  • 64 is 4 times the difference between a and 44, a is greater than 44
    6·1 answer
  • Mixed numbers between 0 and two with an interval of one third between each pair of mixed numbers
    6·1 answer
  • choose the correct classification for the angle. Please answer all 3 questions. Thank you! brainliest for correct answer.
    12·2 answers
  • What is the factorization of 3x2 – 8x + 5?
    7·2 answers
  • Kris is setting up tables for an awards banquet. Each table seats 16 people. What is the fewest number of tables
    6·1 answer
  • Which graph shows the solution to the inequality -3x-7 &lt;20?
    11·1 answer
  • Experts believe that 70% of adults in the United States believe it is more enjoyable to be married than single. An ABC News Poll
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!