Math Algebra 1

posted by .

i was wondering if anyone could help me on this problem.

expand:
x^-2 (y^2 + 10x)
z^3 (5x + 3z^-4)


First one:

x^-2 (y^2 + 10x)

x^-2 is the same thing as 1/x^2.

Therefore, we have this:

1/x^2 (y^2 + 10x)

Multiply using the distributive property:

y^2/x^2 + 10x/x^2

Add together because you have the same denominator:

(y^2 + 10x)/x^2

And that's as far as we can go on this one!

I'll let you try the second one on your own. Hint: z^-4 is the same as 1/z^4.

I hope this helps.


One other thing about your first problem; if you are to expand and leave it as y^2/x^2 + 10x/x^2, then reduce the second fraction and you will end up with this:
y^2/x^2 + 10/x

I hope this helps.


that was all one problem the stuff on the top has a line between the top and the bottom


Ok, let's approach the problem differently. Since this is all one problem, I'll rewrite it as such:

[x^-2 (y^2 + 10x)] /
[z^3 (5x + 3z^-4)]

Working it out:

[(y^2 + 10x)/x^2] /
[z^3(5x + 3/z^4)] =

[(y^2 + 10x)/x^2] /
[(5xz^3 + 3/z) =

[(y^2 + 10x)/x^2] /
[(5xz^4/z + 3/z)] =

[(y^2 + 10x)/x^2] /
[(5xz^4 + 3)/z] =

[z(y^2 + 10x)] /
[x^2(5xz^4 + 3)] =

(y^2z + 10xz) /
(5x^3z^4 + 3x^2)

This is as far as you can go; I don't see any other way to reduce this further.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Pre-algebra

    Solve. 29x – 2(9x – 0.455) = 10x + 0.525 Give us you thinking on this so we can help you solve the equation. What is it you don't understand about solving this eqution?
  2. math,factoring,help

    Can someone please show me step by step how to do these. I've read the book and there examples and It is just not clicking. Directions: Factor each of the following polynomials completely Problem:#1 14x^2-20x+6 Directions:Find all …
  3. how about his one

    -7+ 5x = 10x-2? im not sure I know its -1, but im not sure how. -7 + 5x = 10x - 2 Since we need to get the unknowns on one side and the knowns on the other side and change their signs: 5x - 10x = 7 - 2 -5x = 5 x = -1 wait how did you
  4. Algebra

    almost done with Algebra...help! 2 3x – 6(2x – 0.055) = 10x + 0.515 I don't know what want but assuming your solving for x... 23x-12x-.33= 10x + 0.515 11x-.33= 10x + 0.515 x= 0.845 You need to clarify your post. Is that 23x or …
  5. Math

    Find the equation of the tangent line 5x^2+y^2=14 at (1,3). P.S: It's calculus. So far I know this much 10x+2y(dy/dx)=o -10x -10x ___________________ 2y(dy/dx)= -10x (dy/dx)= -10x/2y= -5x/y m= -5(1)/3= -5/3 y=mx+b 3= -5/3(1)+b then …
  6. math

    f(x) = x^2 + 10x + 24 =(x^2 + 10x)+ 24 =(x^2 + 10x + 25 - 25) + 24 f(x) =(x+5)^2 - 1 Vertex: (-5, -1) How do you sketch this?
  7. Intermediate Algebra

    Determine whether the point (1, 8) is a solution of the system 2x + 6y = 50 10x + 0y = 10 by substituting the point into each equation. So far I have: 2x=6y=50 y=50-2x 10x+10y=10 10x+0(50-2x)=10 10x+0=10 x=10 y=50-2x y=50-2(1) y=50-2 …
  8. algebra

    Gina wrote this system of linear equations: 2x + y = 7 4x + 5y = 11 Which of the following shows the first four steps that Gina could have used to correctly solve this system for x?
  9. math

    1. Gina wrote this system of linear equations: 2x + y = 7 4x + 5y = 11 Which of the following shows the first four steps that Gina could have used to correctly solve this system for x?
  10. algerbra help azap

    Ten times a number, x, is one-half the sum of the number and three. Which equations represents this situation?

More Similar Questions