The mathematical expression simplifies to (-31/4*y^(3) + 2y) * x^(5), done by breaking down the expression into separate fractions, applying the rules of exponents and division properties, and simplifying each term separately.
The provided mathematical expression is (31yx^(7)-8y^(4)x^(7))/-4y^(3)x^(2). When dealing with these kind of problems, we use the mathematical laws of exponents and properties of division.
First step is to separate the terms with their respective denominators so: 31yx^(7)/-4y^(3)x^(2) and -8y^(4)x^(7)/-4y^(3)x^(2). Then we simplify each term separately. Thus, we have -31/4*y^(3)*x^(7-2) + 2*y^(4-3)*x^(7-2). That simplifies to -31/4*y^(3)*x^(5) + 2y*x^(5) or we can write it as (-31/4*y^(3) + 2y) * x^(5). The most important step is to simplify each term by using the laws of exponents and properties of division.
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