Algebraic fractions

The question

Check this line: (x² − 36) ÷ (x − 6) − x = 6. Which is correct?

Check this line: (x² − 36) ÷ (x − 6) − x = 6. Which is correct?

(x² − 36) ÷ (x − 6) − x
(x² − 36) ÷ (x − 6) − x=(x + 6) − x
(x² − 36) ÷ (x − 6) − x=(x + 6) − x
(x² − 36) ÷ (x − 6) − x=6
(x² − 36) ÷ (x − 6) − x=6
they wrote:6
  1. Do the step yourself first, then compare with their line.
  2. On your own, writing every step: (x² − 36) ÷ (x − 6) − x becomes (x + 6) − x.
  3. Tidy that up and it is 6.
  4. Now compare — this time the two agree, so their line is right.

How it works.

  1. 01

    Do the step yourself first, then compare with their line.

  2. 02

    On your own, writing every step: (x² − 36) ÷ (x − 6) − x becomes (x + 6) − x.

  3. 03

    Tidy that up and it is 6.

  4. 04

    Now compare — this time the two agree, so their line is right.