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Mathematics 18 Online
OpenStudy (anonymous):

How would i divide this? Someone please help explain

OpenStudy (anonymous):

\[\frac{ y^2-y-12 }{ y^-6y+8}\div \frac{ y^2+2y-15 }{y^-7y+10}\]

OpenStudy (anonymous):

what?

OpenStudy (mathstudent55):

First, bec it's a division, multiply the first fraction by the reciprocal of the second. In other words, turn the problem into a multiplication by flipping the second fraction

OpenStudy (anonymous):

so, stay change flip?

OpenStudy (mathstudent55):

first fraction stays the same. second fraction flips. division sign becomes multiplication sign

OpenStudy (anonymous):

would the answer be (y-5)/(y+5)

OpenStudy (anonymous):

or (y+3)(y-5)/(y+5)(y-3)?

OpenStudy (mathstudent55):

last answer is correct

OpenStudy (anonymous):

can you explain how its right?

OpenStudy (mathstudent55):

Ok get back to the step I told you above. Keep the first fraction as it is. Write a multiplication sign after that and flip the second fraction.

OpenStudy (mathstudent55):

Next step is to factor every trinomial into two the product of two binomials. Then cancel equal binomials in the numerator and denominator.

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