## Negative GCF - Visualizing Algebra

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The quantity 2y minus 3z times the quantity 3x plus 4 is correct. Fantastic work
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for getting that one right. Now, I know we haven't covered negative signs yet,
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so don't worry if you didn't get it right. Let's see how we could do this. I can
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see that both this term and this term share a y, and also, they're both
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divisible by 2. So, 2y must by my greatest common factor. If I divide 2y into
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6xy, I'm left with 3x. And if I divide 2y into 8y, I'm left with positive 4.
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Here, this term is negative and this term is negative. The negative 9 and
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negative 12 share a negative 3 as a common factor. They also share a z. Now, I
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want to think about what two terms should go in here. What number times negative
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3z will give me negative 9xz? That must be positive 3x. Then, I think about what
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number times negative 3z will give me negative 12z. This must be positive 4. And
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this is great. This first term and the second term share a common factor of 3x
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plus 4, so we can factor again. So, this 3x plus 4 is here for one of my factors
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and 2y minus 3z is my other factor. And again, this line should make sense
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because if we distribute 2y, we'll get 2y times 3x plus 4, our first term. And
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then if we distribute negative 3z, we'll have negative 3z times 3x plus 4, our
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second term. So, this is our last finaled factored form.
Title:
Negative GCF - Visualizing Algebra
Video Language:
English
Team:
Udacity
Project:
MA006 - Visualizing Algebra
Duration:
01:25
 Udacity Robot edited English subtitles for Negative GCF - Visualizing Algebra Cogi-Admin added a translation

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