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Simplify algebraic expression with coefficient

Simplify an algebraic expression with different variables and a leading coefficient to brackets times brackets

This skill involves simplifying an algebraic expression with different variables and a leading coefficient into a product of two bracketed terms, each containing one of the variables. This is achieved by grouping and factoring out common terms from different parts of the expression.

Learn simplify algebraic expression with coefficient

Teaching Transcript

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Let's simplify this expression to a pair of bracketed terms that each have one of the variables. Notice that our 'X' 'Y' term has a coefficient, so we need to approach this a bit differently

Let's group the terms into terms that have a 'Y' and terms that don't.

Looking at the first bracketed group, we can see that there is a common factor of 2 'Y', so let's take that out

In the second bracketed group, there is a common factor of 3, so we can take that out.

We have a common factor of 3 'X' plus 4, so we can take that out and rearrange for our answer

Skill Practice

Simplify an algebraic expression with different variables and a leading coefficient to brackets times brackets

Test your understanding of simplify algebraic expression with coefficient by practicing it! Work through the below exercises to use it in practice.