How to Use Area Models to Factor Variable Expressions?
- Draw a rectangle with dimensions that match the coefficients and variables in the expression.
- Identify two smaller rectangles within the larger rectangle that would have dimensions that match the factors you want to find.
- Write the dimensions of the smaller rectangles as the factors of the original expression.
- Simplify the expression by using the distributive property, and then simplify further if possible.
Using Area Models to Factor Variable Expressions – Example 1
Using Area Models to Factor Variable Expressions – Example 2
Use the area model for factoring variable expressions.
\(18j+12\)
Solution:
Step 1: Find the greatest common factor of 18j and 12. It is 6.
Step 2: Divide each term by the factor. \(18j÷6=3, 12÷6=2\).
Step 3: Write \(18j+12\) in factored form. The area model signifies it is equal to the product of 6 and \(3j+2\).
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Original price was: $109.99.$54.99Current price is: $54.99.
Original price was: $109.99.$54.99Current price is: $54.99.
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