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K Factor by grouping. 12x + 12z+bx+bz 12x+12z+ bx + bz = 6.1.2

K Factor by grouping. 12x + 12z+bx+bz 12x+12z+ bx + bz = 6.1.2

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Factor by Grouping** **Expression:** 12x + 12z + bx + bz This algebraic expression is often factored using the method of grouping. To factor by grouping, follow these steps: 1. **Group Terms:** - (12x + 12z) + (bx + bz) 2. **Factor Out the Greatest Common Factor (GCF) from Each Group:** - 12(x + z) + b(x + z) 3. **Factor Out the Common Binomial Factor:** - (12 + b)(x + z) This method simplifies the expression by using the distributive property to factor common elements. **Interactive Element:** In the empty box provided, practice entering the factored form: - (12 + b)(x + z) This exercise helps reinforce your understanding of factoring by grouping.
Transcribed Image Text:**Factor by Grouping** **Expression:** 12x + 12z + bx + bz This algebraic expression is often factored using the method of grouping. To factor by grouping, follow these steps: 1. **Group Terms:** - (12x + 12z) + (bx + bz) 2. **Factor Out the Greatest Common Factor (GCF) from Each Group:** - 12(x + z) + b(x + z) 3. **Factor Out the Common Binomial Factor:** - (12 + b)(x + z) This method simplifies the expression by using the distributive property to factor common elements. **Interactive Element:** In the empty box provided, practice entering the factored form: - (12 + b)(x + z) This exercise helps reinforce your understanding of factoring by grouping.
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