Maths Factorization part 10 (Questions : Division) CBSE Class 8 Mathematics VIII

TL;DR

Learn how to divide algebraic expressions by prime factorizing the numerator and denominator, canceling like terms, and simplifying the result.

Transcript

hello friends this video on factorization part 10 is brought to you by example.com no more fear from exam so now based on the division of algebraic expression let's try out a few questions question number one divide 34 x cube y cube z cube divided by 51 x y square z cube so here what we will do we will write them in the form of factors so 34 x cube... Read More

Key Insights

• 😑 Prime factorization is a crucial step in dividing algebraic expressions.
• 🍉 Like terms can be canceled out when dividing and simplify the result.
• 😑 Complex expressions can be simplified by factorizing and applying the distributive property during the division process.
• 😑 Dividing algebraic expressions involves canceling common factors and simplifying the remaining terms.

Questions & Answers

Q: How do you divide algebraic expressions?

To divide algebraic expressions, prime factorize both the numerator and denominator, cancel like terms, and simplify the result by multiplying the remaining factors.

Q: What is the process for dividing 34x^3y^3z^3 by 51xy^2z^3?

Prime factorize 34 (2 * 17) and 51 (3 * 17), cancel like terms (x, y, z), and simplify to 2x^2y/3.

Q: Can you divide p^3q^6 - p^6q^3 by p^3q^3?

Yes, by canceling like terms (p, q) and simplifying, the result is q^3 - p^3.

Q: How do you handle complex expressions when dividing algebraic expressions?

Factorize the complex expression into its factors and use the distributive property to simplify the division.

Summary & Key Takeaways

• This video explains the process of dividing algebraic expressions by prime factorizing and canceling like terms.

• The first example demonstrates dividing 34x^3y^3z^3 by 51xy^2z^3, simplifying to 2x^2y/3.

• The second example shows dividing p^3q^6 - p^6q^3 by p^3q^3, simplifying to q^3 - p^3.