How do you multiply #x(x+5)^2*2/(x^2-25)#?

Answer 1

=#(2x(x+5))/((x-5))#

Factorise first.

#x(x+5)^2*2/(x^2-25)#
=#x(x+5)(x+5)*2/((x+5)(x-5))#
=#xcancel((x+5))(x+5)*2/(cancel((x+5))(x-5))#
=#(2x(x+5))/((x-5))#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To multiply the expression x(x+5)^2*2/(x^2-25), you can follow these steps:

  1. Start by expanding the square term (x+5)^2, which gives you (x+5)(x+5) = x^2 + 10x + 25.

  2. Next, multiply x by the expanded expression: x(x^2 + 10x + 25) = x^3 + 10x^2 + 25x.

  3. Multiply the result from step 2 by 2: 2(x^3 + 10x^2 + 25x) = 2x^3 + 20x^2 + 50x.

  4. Now, factor the denominator x^2-25. It is a difference of squares, so it can be factored as (x+5)(x-5).

  5. Finally, simplify the expression by canceling out common factors between the numerator and denominator. In this case, (x+5) can be canceled out.

The simplified expression is: 2x(x^2 + 10x + 25)/(x+5)(x-5).

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7