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# 3(4x-2y)-2(3x+y)

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I want the answer pls !!

off-topic
Nov 26, 2019
edited by Guest  Nov 26, 2019

#1
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\(3(4x-2y)-2(3x+y) \)

\(=12x-6y-6x-2y\\ \color{blue}=6x-8y\)

Nov 26, 2019
edited by asinus  Nov 26, 2019
#2
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Do you know how to distribute?

I think you do, or else you wouldn't get this problem.

Asinus got this correct with a well-thought out explanation, but just if you don't understand distributive, here I am.

3(4x-2y) means 3*4x+3*(-2y). We multiply the outside value, 3, by each term inside the parenthesis.

The equation then becomes \(12x-6y-6x-2y\)

6x-8y.

You are very welcome!

:P

Nov 26, 2019
#3
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Thanks Coolstuff, I like your explanation.

Since you are interested in teaching I thought you might be interested in alternate techniques .

This is how I would do it if I was serioulsy teaching someone about expanding brackets.

I'd talk about the area of a rectangle.  So a rectangle with sides 2 and 3 would have an area of  2*3 = 6

I'd draw that

Then I would move onto an algebraic example.  I would start with one that only had plus signs but I have drawn a representation of the first half of this problem.

3(4x-2y)

So

\(3(4x-2y)\\=12x+-6y\\=12x-6y\)

Melody  Nov 26, 2019