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(2a-b) (3a-2b) resultado

 Apr 20, 2014

Best Answer 

 #2
avatar+118723 
+5

CPhill's answer is a good one but it is more common to do it the other way around.

consider this

2(3a) this is 2 lots of 3a and the answer is 2*3a=6a

2(3a+4) is 2 lots of (3a+4) which is 2 lots of 3a plus 2 lots of 4 = 6a+8

(2+3)(3a+4) is 5 lots of (3a+4) but this can also be thought of as 2 lots of (3a+4) plus 3 lots of (3a+4)

so

$$(2a-b)(3a-2b)\\
= 2a(3a-2b) -b(3a-2b)\\
=6a^2-4ab -3ab--2b^2\\
=6a^2-4ab -3ab+2b^2\\
=6a^2-7ab+2b^2\\$$

See, our answers are the same. 

 Apr 21, 2014
 #1
avatar+130511 
+5

Re: (2a-b) (3a-2b) resultado

We can evaluate this in several ways. One way is to "disrtibute" (multiply) the first expression over both terms in the second. This gives us

[(2a-b)*(3a)]  + [(2a-b)*(-2b)]    which gives us

[6a2 - 3ab] + [ -4ab + 2b2]  =

6a2 - 3ab - 4ab + 2b2   and combining "like" terms, we have

6a2 - 7ab + 2b2

We also could have distributed the second expression over the first.....the answer would have been the same!!!

 Apr 20, 2014
 #2
avatar+118723 
+5
Best Answer

CPhill's answer is a good one but it is more common to do it the other way around.

consider this

2(3a) this is 2 lots of 3a and the answer is 2*3a=6a

2(3a+4) is 2 lots of (3a+4) which is 2 lots of 3a plus 2 lots of 4 = 6a+8

(2+3)(3a+4) is 5 lots of (3a+4) but this can also be thought of as 2 lots of (3a+4) plus 3 lots of (3a+4)

so

$$(2a-b)(3a-2b)\\
= 2a(3a-2b) -b(3a-2b)\\
=6a^2-4ab -3ab--2b^2\\
=6a^2-4ab -3ab+2b^2\\
=6a^2-7ab+2b^2\\$$

See, our answers are the same. 

Melody Apr 21, 2014

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