# Factorize Using The Distributive Property Worksheet

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Factorizing using the distributive property involves breaking down an expression into a product of simpler expressions. This is done by identifying a common factor in the terms of the expression and then using the distributive property to rewrite the expression. Factoring using the distributive property worksheets, helps students to factorize the given expression using the distributive property.

For example: Factor $$45u+35$$.

Algebra 1
Expressions

## How Will This Worksheet on "Factorize Using the Distributive Property" Benefit Your Students' Learning?

• Enhances problem-solving skills in algebra.
• Facilitates solving equations by isolating variables.
• Provides a foundation for understanding polynomial division.
• Improves ability to recognize common factors in expressions.
• Factorize using the distributive property pdfs, helps students in easy understanding of distributive property.
• Aids in simplifying fractions and rational expressions.

## How to Factorize Using the Distributive Property?

• First, identify the greatest common factor (GCF) in all terms of the expression.
• The GCF can be a number, a variable, or a combination of both.
• Express each term in the expression as a product of the GCF and another factor.
• Use the distributive property to factor out the GCF from each term.
• The distributive property states that $$ab+ac = a(b+c)$$.
• Combine the common factors and the remaining terms into a single factored expression.

## Solved Example

Q. Express $2x(3x)+2x(5)$ in factored form.$\newline$($2x$)($3x$)($5$)$\newline$$2x$($3x$+$5$)$\newline$$6x^2$+$10x$
Solution:
1. Factor out common term: Factor out the common term $2x$: $2x(3x) + 2x(5) = 2x(3x + 5)$
2. Check factored form: Check the factored form: $2x(3x + 5)$

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