+0  
 
0
796
2
avatar

(m+2)(m-2)

 May 11, 2014

Best Answer 

 #2
avatar+118724 
+10

** You should learn to recognise this.

When you factorise a difference of 2 squares this is what you get. One bracket is the conjugate of the other.  Only the sign in the middle is different.

$$x^2-a^2=(x-a)(x+a)$$    

OR if you simplify

$$(x-a)(x+a)=x^2-a^2$$

Yours was 

(m-2)(m+2) so the answer should become obvious to you as  $$m^2-2^2=m^2-4$$

 May 11, 2014
 #1
avatar+33666 
+10

I guess you just want this to be expanded?

(m+2)(m-2) = m2 - 2m + 2m - 22 = m2 - 22 = m2 - 4

 May 11, 2014
 #2
avatar+118724 
+10
Best Answer

** You should learn to recognise this.

When you factorise a difference of 2 squares this is what you get. One bracket is the conjugate of the other.  Only the sign in the middle is different.

$$x^2-a^2=(x-a)(x+a)$$    

OR if you simplify

$$(x-a)(x+a)=x^2-a^2$$

Yours was 

(m-2)(m+2) so the answer should become obvious to you as  $$m^2-2^2=m^2-4$$

Melody May 11, 2014

2 Online Users

avatar