Expand ( (Squareroot of c ) -1) ^6

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Expand `(sqrt(c)-1)^6`

`(sqrt(c) - 1)^2*(sqrt(c) - 1)^2 *(sqrt(c) - 1)^2`

`(sqrt(c) - 1)^2 = c - 2csqrt(c) + 1`

From 2nd step replace to have:

`(c - 2csqrt(c) + 1) (c - 2csqrt(c) + 1) (c - 2csqrt(c) + 1)`

Use distributive property to get:

`c^3 - 6c^2sqrt(c) + 15c^2 - 20csqrt(c) + 14c - 6sqrt(c) + c + 1`

Approved by eNotes Editorial Team

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial