Factorizing 2ab - 4ac + bd - 2de | Help Appreciated

  • Thread starter Dave06
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This is the best common factor extraction. So, in summary, the expression 2ab - 4ac + bd - 2de can be factorized as 2a(b- 2c)+ d(b- 2e) by extracting the common factors.
  • #1
Dave06
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Factorize the following

2ab - 4ac + bd - 2de

cant get this at all

any help is appreciated
 
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  • #2
Dave06 said:
Factorize the following

2ab - 4ac + bd - 2de

cant get this at all

any help is appreciated
Immediately you can get 2a(b-2c)+d(b-2e).

If you have a typo (e should be c?), then you have (2a+d)(b-2c).
 
  • #3
im afraid not

the question asks

Factorise the following expressions by extraction or grouping of the common factors

2ab - 4ac + bd - 2de
 
  • #4
Then the best you can do is, as mathman said, 2a(b- 2c)+ d(b- 2e).
 

FAQ: Factorizing 2ab - 4ac + bd - 2de | Help Appreciated

What is factorizing in algebra?

Factorizing in algebra is the process of breaking down an algebraic expression into smaller parts, or factors, that when multiplied together, equal the original expression. This is done by finding common factors and using algebraic rules to simplify the expression.

Why is it important to factorize algebraic expressions?

Factorizing algebraic expressions can help simplify complex equations and make them easier to solve. It also allows for a better understanding of the relationships between different variables and terms within an equation.

How do you factorize an expression with multiple terms?

To factorize an expression with multiple terms, you must first look for common factors that can be factored out. Then, use the distributive property to simplify the remaining terms. Finally, check to see if the expression can be factored further by looking for common factors among the remaining terms.

What is the difference between factoring and expanding an expression?

Factoring involves breaking down an expression into smaller factors, while expanding involves simplifying an expression by distributing and combining like terms. In other words, factoring goes from a larger expression to smaller factors, while expanding goes from smaller expressions to a larger one.

Can all algebraic expressions be factored?

Not all algebraic expressions can be factored, but most can. Expressions that cannot be factored are called prime or irreducible expressions and cannot be simplified any further.

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