solve: 6y^2-52y-18/3y^2+25y+8*3y^2+18y-48/y^2-11y+18
in Algebra 1 Answers by Level 1 User (120 points)

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Could you make sure that you include brackets in your expresion(s). It's ambiguous otherwise, and sometimes expressions like this are impossible to answer. I'm having to guess at what I think the (rational) expression is supposed to be.

Thanks.

solve: (6y^2-52y-18)/(3y^2+25y+8)*(3y^2+18y-48)/(y^2-11y+18)

The quadratic expressions in the above rational factorise as,

{(2*(3*y+1))*(y-9) / (y+8)*(3*y+1)} * {(3*(y+8))*(y-2) / (y-2)*(y-9)}   which simplifies to

{(2*(y-9) / (y+8)} * {(3*(y+8)) / (y-9)} 

looking closely at the above expression, we can see that all bracketed terms cancel, leaving us with

{2} * {3}

The rational expression reduces down to: 6

by Level 11 User (81.5k points)

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