Factorisation: Method of Common Factors

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10 Questions

What are the prime factors of 30?

2, 3, 5

What is meant by 'prime factor form'?

Writing a number as a product of its prime factors

Can every algebraic expression be expressed as a product of its factors?

No, it is not always possible to factorize an algebraic expression

How many prime factors does the number 90 have?

3

What is the factorized form of the expression $3x^2 + 8x + 4$?

$3(x+2)(x+1)$

What is the common factor of 49y^2, 84yz, and 36z^2?

7y + 6z

Which expression can be factorized as (5m + 3)^2?

25m^2 + 30m + 9

What is the factorized form of -16z + 20z^3?

-4z(4 - 5z^2)

Which pair of expressions can be further factorized as (l - m)^2?

(l - m)^2 - 4lm

The common factors of 3x^2y^3, 10x^3y^2, and 6x^2y^2z are:

x^2y^2

Learn how to factorise expressions using the method of common factors. Understand how to identify and factor out the common factors in algebraic expressions.

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