- #1

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3(n+r)(n+r-1) + (n+r)

to (n+r)(3n+3r-2)?

I forgot how to factorise, so can someone help me do this please?

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- Thread starter confused88
- Start date

- #1

- 22

- 0

3(n+r)(n+r-1) + (n+r)

to (n+r)(3n+3r-2)?

I forgot how to factorise, so can someone help me do this please?

- #2

CRGreathouse

Science Advisor

Homework Helper

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(It's actually easier to understand by doing, in this case, than to have it explained!)

- #3

Mentallic

Homework Helper

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ab+ac=a(b+c)

xy+x=x(y+1)

pqr+r=r(pq+1)

If you understand how to do the opposite of factorising which is expanding, then these results would be easy to confirm.

So for 3(n+r)(n+r-1) + (n+r)

let n+r=x

So we now have 3x(x-1)+x

Factorising x out: x(3(x-1)+1)

Expand 3(x-1) and collect like terms, then substitute n+r=x back into the result.

- #4

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Oh wow i get it now. Thank you!!

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