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Algebra 16 Online
OpenStudy (anonymous):

i need help finding the product of rational expressions.

OpenStudy (phi):

post a specific question

OpenStudy (anonymous):

2a/-7b*-7a/6

OpenStudy (phi):

\[ \frac{2a}{-7b} \cdot \frac{-7a}{6} \] the "simple" rule is top * top and bottom*bottom if we do that, but do not simplify, we get \[ \frac{2\cdot a \cdot -7 \cdot a }{-7\cdot b\cdot 6} \] notice we have things multiplied up top (and in the bottom) , and we can change the order of multiplying . So we could write it as \[ \frac{-7 \cdot2\cdot a \cdot a }{-7\cdot 6 \cdot b} \] notice we have a -7 divided by -7, (which is 1, and when multiplying by 1, we can ignore it) so \[ \frac{2\cdot a \cdot a }{6 \cdot b} \] notice that the "short way" to write a*a is a^2 also, we usually leave out the multiply signs: \[ \frac{2a^2 }{6b} \]

OpenStudy (anonymous):

thank you

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