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Math Lesson 6.2.4 - How to expand brackets when a Number Divides an Expression inside them
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Welcome to our Math lesson on How to expand brackets when a Number Divides an Expression inside them, this is the fourth lesson of our suite of math lessons covering the topic of Expanding Brackets, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.
Expanding Brackets When a Number Divides an Expression inside Them
This operation is possible and applicable. In symbols, we have
The condition to apply this property is that c must not be zero.
This property derives from the properties of a fraction with a common denominator. Since fractions represent an alternative method of expressing division, we can write
(c ≠ 0)
which we already know is true. Hence, the property is confirmed.
In words, we can express this property as
A number that divides an expression inside brackets, divides all terms in the brackets when expanding them.
Example 4
Simplify the expression
Solution 4
Applying the properties discussed in this guide, yields
= 2-4 ∙ 2x - 4 ∙ 5 + 6x ÷ 2 - 4 ÷ 2
= 2 - 8x - 20 + 3x - 2
= -5x - 20
More Expanding Brackets Lessons and Learning Resources
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- Number Divides Feedback. Helps other - Leave a rating for this number divides (see below)
- Expressions Math tutorial: Expanding Brackets. Read the Expanding Brackets math tutorial and build your math knowledge of Expressions
- Expressions Video tutorial: Expanding Brackets. Watch or listen to the Expanding Brackets video tutorial, a useful way to help you revise when travelling to and from school/college
- Expressions Revision Notes: Expanding Brackets. Print the notes so you can revise the key points covered in the math tutorial for Expanding Brackets
- Expressions Practice Questions: Expanding Brackets. Test and improve your knowledge of Expanding Brackets with example questins and answers
- Check your calculations for Expressions questions with our excellent Expressions calculators which contain full equations and calculations clearly displayed line by line. See the Expressions Calculators by iCalculator™ below.
- Continuing learning expressions - read our next math tutorial: Special Algebraic Identities Obtained through Expanding
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