Extremely stupid question but i want to be 100% sure

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In summary, the conversation is about factorising the expression x^2+3x=2 and whether the answers (x+2)(x+1) and (x+1)(x+2) are the same. The expert explains that they are identical due to the commutative property of multiplication, where the order of multiplication does not matter. They also mention that some books may list the factors in increasing order. A potential typo in the original statement is also pointed out.
  • #1
groom03
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Homework Statement



factorise x^2+3x=2

Homework Equations



erm...

The Attempt at a Solution



(x+2)(x+1)

book says

(x+1)(x+2)

aren't those answers the same? i know it's a stupid question but i want to make sure I'm getting this right
 
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  • #2
Yes, the answers are identical since the multiplication of real numbers is a commutative operation :approve:.
 
  • #3
Hootenanny said:
commutative operation :approve:.

no idea what that means but thanks for your help
 
  • #4
groom03 said:
no idea what that means but thanks for your help

2*5=5*2
 
  • #5
groom03 said:
no idea what that means but thanks for your help
Look in the front cover or something, it's probably there ...
 
  • #6
By defn of multiplication, you get the commutative property which states that a*b=b*a which tells you that the way you multiply two things has no order. So to answer your question yes, it does not matter which one comes first. Most books not all will list their answers in an increasing order, hence (x+1) comes before (x+2) because 2>1
 
  • #7
I'm assuming there is a typo in your statement and that you meant x^2 + 3x + 2 , in which case the factors are (x+2)(x+1) or (x+1)(x+2). The equation x^2 + 3x = 2 would lead to very different factors...
 
  • #8
dynamicsolo said:
I'm assuming there is a typo in your statement


yes... didn't notice that
 

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