Question
The area of the rectangle is given. Use factoring to find the expressions for the missing dimensions.
- xy2(3x + 4y)
- xy2(9 + 12xy)
- 3x2y(3x + 4y)
- 3xy2(3 + 4xy)
Hint:
In this question, we have to find the expression for the missing dimension if the areas are 
Firstly, we will find the factors of both the expression and then select the common factors, the product of the common factors will be the GCF (Greatest Common Factor). Later we will take common the GCF from the sum of the area to get the required expression for missing dimensions.
The correct answer is: 3xy2(3 + 4xy)
Factors of 9xy2 = 3
3xyy
Factors of 12x2y3 = 223xxyyy
Common factors =3, x, y, y
GCF = 3xyy = 3xy2
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