I didn't study maths in English so apologies for this trivial question.

How do you say in English when you have a formula 3n + 3 and you want someone to convert it into 3(n+1) I only know about "rearrange" but that's usually about equality, like U=I*R can be rearranged to U/I = R etc. Isn't there a more explicit word for this?

For example if I expect 4a - 4b to be the final result from 2a - 4b + 2a and someone also does this 4(a - b), what would I say?

Replace the end of sentences (those are my guesses):
"I want you to just add polynomials, you didn't have to <segregate the 4>?"
"I want you to just add polynomials, don't worry about <inverse of redistribution>?"

  • $\begingroup$ "Factorize", perhaps? $\endgroup$ – player3236 Nov 14 '20 at 9:26
  • 1
    $\begingroup$ The word you are looking for is "factorise" (British English) or "factorize" (US English) $\endgroup$ – tomi Nov 14 '20 at 9:31
  • $\begingroup$ so will it be "you didn't have to factorise the 4"? and "dont worry about factorisation?" $\endgroup$ – Daniel Katz Nov 14 '20 at 9:34
  • $\begingroup$ "don't worry about the factorising" and "you didn't have to take 4 out as a factor" $\endgroup$ – tomi Nov 14 '20 at 10:28
  • $\begingroup$ Please use MathJax to format math on this site. $\endgroup$ – g.kov Nov 14 '20 at 14:10
  1. The operation $$ab + ac = a(b+c)$$ is often called " factoring out the common factor ", where the common factor is $a$ here.
  • " I wanted you to add polynomials, you didn't have to factor out 4 "
  • " I wanted you to add polynomials, don't worry about factoring out the common factor "

  1. The operation $$a(b+c) = ab + ac$$ is often called " expanding the brackets ".
  • " If your answer is already factorized, do not expand the brackets "
  • $\begingroup$ Great thanks! Can you pls confirm factorising as the inverse of factoring out? $\endgroup$ – Daniel Katz Nov 14 '20 at 9:52
  • 2
    $\begingroup$ No, the inverse of factoring is distributing. If you are going from a(b+c) to ab+ac, you are distributing the a over the b+c $\endgroup$ – Mike Battaglia Nov 14 '20 at 10:11
  • $\begingroup$ @DanielKatz See my addition. $\endgroup$ – VIVID Nov 14 '20 at 10:28
  • $\begingroup$ so good! I'm delighted :-) $\endgroup$ – Daniel Katz Nov 14 '20 at 11:24

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