We express the division of the two monomials as a rational expression where 36y³ is the numerator and 9y² is the denominator.

carry out the following divisions - 36y cube divided by 9y² but this question is in the chapterisation solved as per the chapter

Answer: $4y$

Step-by-step solution

Step 1: Write as a fraction

We express the division of the two monomials as a rational expression where $36y^3$ is the numerator and $9y^2$ is the denominator.

Step 2: Express terms in irreducible factor form

Following the NCERT factorisation method for division of a monomial by another monomial, we express both the numerator and the denominator in their irreducible factor forms.

Step 3: Cancel common factors

We cancel the common factors $3$ , $3$ , $y$ , and $y$ from both the numerator and the denominator, leaving $2 \times 2 \times y = 4y$ .

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