Respuesta :
The rational expression 24 x³y² / -6 x² y³ in simplest form is 4x/-y.
How to find the rational expression in simplest form?
A rational number is one that cannot be 0 and is stated in the form p/q.
A rational expression means ratio of two polynomials. If there are no shared factors between the numerator and denominator, a rational expression is considered as simplified.
The process of reducing a rational expression into its simplest form is known as simplification of rational expression. Similar to how fractions or numbers are simplified, rational expressions are also simplified.
Steps to simplify the rational expression:
Step 1: Factorize the rational expression's denominator and numerator.
Step 2: Keep in mind to use standard form when writing each expression.
Step 3: By eliminating shared components in the numerator and denominator, the expression is reduced.
Step 4: The remaining components of the numerator and denominator should be rewritten.
given that the expression is
[tex] \frac{24 x³y²}{ -6 x² y³} [/tex]
now, write 24 as 6 X 4
[tex]⟹ \frac{6 \times 4 \times {x}^{3} \times {y}^{2} }{ - 6 {x}^{2} {y}^{3} } [/tex]
then, cancel common variables.
[tex]⟹ \frac{4x}{ - y} [/tex]
Hence the rational expression 24 x³y² / -6 x² y³ in simplest form is 4x/-y.
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