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svetoff [14.1K]
3 years ago
13

PLEASE HELP ME!!!

Mathematics
2 answers:
miskamm [114]3 years ago
4 0
The answer is:

\frac{3y(2x-1)(x-3}{x(x-6)(x+1)}
Nitella [24]3 years ago
3 0

Answer: \frac{3y(2x-1)}{x(x-2)}


Step-by-step explanation:

Given problem to simplify is \frac{\frac{15xy^2}{x^2-5x+6} }{\frac{5x^2y}{2x^2-7x+3} } \\\\=\frac{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)}\\\\=\frac{15xy^2}{(x-3)(x-2)}\cdot\frac{(x-3)(2x-1)} {5x^2y}.........\ \text{(factorizing quadratic equation)}

=\frac{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 \frac{3y(2x-1)}{x(x-2)}

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