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