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PLEASE HELP ME!!! What is the simplified form of the quantity 15 x y squared over x squared minus 5x plus 6 all over the quantity 5 x squared y over 2x squared minus 7x plus 3 ?…

PLEASE HELP ME!!! What is the simplified form of the quantity 15 x y squared over x squared minus 5x plus 6 all over the quantity 5 x squared y over 2x squared minus 7x plus 3 ?…
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2 votes
PLEASE HELP ME!!!

What is the simplified form of the quantity 15 x y squared over x squared minus 5x plus 6 all over the quantity 5 x squared y over 2x squared minus 7x plus 3 ?

PLEASE HELP ME!!! What is the simplified form of the quantity 15 x y squared over-example-1
User Halden Collier
by
8.3k points

2 Answers

6 votes
The answer is:


(3y(2x-1)(x-3)/(x(x-6)(x+1))
User Yesi
by
8.0k points
3 votes

Answer:
(3y(2x-1))/(x(x-2))


Explanation:

Given problem to simplify is
((15xy^2)/(x^2-5x+6) )/((5x^2y)/(2x^2-7x+3) ) \\\\=(15xy^2)/(x^2-5x+6)\cdot\ \frac{2x^2-7x+3} {5x^2y}............\text{(by fractional division property,the denominator invert and its reciprocal multiply to numerator)}\\\\=(15xy^2)/((x-3)(x-2))\cdot\frac{(x-3)(2x-1)} {5x^2y}.........\ \text{(factorizing quadratic equation)}


=(3y(2x-1))/(x(x-2))........\text{(cancelling like terms with same degree and coefficients from numerator and denominator)}

so the simplified form of the given problem is
(3y(2x-1))/(x(x-2))

User David Hofmann
by
7.9k points
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