Question

You are given the expression thirty x to the power of four y cubed minus twelve x cubed y find the common factor for the expression that has a coefficient other than 1 and that contains at least one variable

Answer 1

The common factor for the expression 30x⁴y³ - 12x³y that has a coefficient other than 1 is 2x³y

How to determine the common factor for the expression 30x⁴y³ - 12x³y?

Common factor in mathematical expressions is a factor that in available in all the variables present in the mathematical expression.

Now, we shall determine the common factor for the expression 30x⁴y³ - 12x³y that has a coefficient other than 1. This is shown below:

First, determine the factors of each variables in the expression, 30x⁴y³ - 12x³y. This is shown below:

• 30x⁴y³ = 2 × 3 × 5 × x × x × x × x × y × y × y
• 12x³y = 2 × 2 × 3 × x × x × x × y

Now, determine the common factors. This is shown below:

Common factor = 2 × x × x × x × y

= 2x³y

Thus, the common factor for the expression that has a coefficient other than 1, is 2x³y