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Mathematics 17 Online
OpenStudy (anonymous):

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OpenStudy (zepp):

Multiply numerator with numerator, denominator with denominator.

myininaya (myininaya):

why are you asking for the difference when the operation is multiplication ?

OpenStudy (anonymous):

for the this it ask what is the difference. so idk lol

myininaya (myininaya):

so does it have a - between the two fractions?

myininaya (myininaya):

\[\frac{5x-2}{4x}-\frac{x-2}{4x}\] or \[\frac{5x-2}{4x} \times \frac{x-2}{4x}\]

myininaya (myininaya):

* this symbol is usually meant that we are multiplying

myininaya (myininaya):

\[\frac{5x-2-(x-2)}{4x}\] since they had the same denominator combine the fractions

myininaya (myininaya):

Distribute the -1 in front of the (x-2)

myininaya (myininaya):

\[\frac{5x-2+(-1)(x-2)}{4x}\]

myininaya (myininaya):

Do you know the distributive property? a(b+c)=ab+ac

myininaya (myininaya):

(-1)(x-2) How do you use the distribute property here? Can you demonstrate?

myininaya (myininaya):

\[(a)(b+c)=(a)(b)+(a)(c)\]

myininaya (myininaya):

\[(a)(b-c)=(a)(b)-(a)(c)\]

myininaya (myininaya):

\[(-1)(x-2)=?\]

myininaya (myininaya):

here is another example \[(-a)(b-c)=(-a)(b)-(-a)(c)\] Another: \[(-a)(b+c)=(-a)(b)+(-a)(c)\]

myininaya (myininaya):

yes (-1)(x)-(-1)(2) -x+2 right? :) great job!

myininaya (myininaya):

\[\frac{5x-2-x+2}{4x}\]

myininaya (myininaya):

So this is what we have after distributing -1 to (x-2) Now you have like terms on top correct?

myininaya (myininaya):

\[\frac{5x-x-2+2}{4x}\] I rearrange the terms notice I kept the signs that belong to each term with each term |dw:1337035627940:dw|

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