Factor the GCF out of 5x2 - 10x?
I know I need to find the GCF of the coefficients but I need to write it using the distributive property. Help please?
5x^2 - 10x
= 5x(x - 2)
expand using the distributive property to see that it is correct.
5×
To factor out the greatest common factor (GCF) of the coefficients from the expression 5x^2 - 10x, follow these steps:
Step 1: Identify the GCF of the coefficients.
The coefficients in this expression are 5 and 10. The greatest common factor of 5 and 10 is 5.
Step 2: Write the GCF outside of parentheses.
Since the GCF is 5, we can write the expression as:
5(x^2 - 2x)
Step 3: Divide each term inside the parentheses by the GCF.
To factor out the GCF, divide each term inside the parentheses by 5:
5(x^2/5 - 2x/5)
Step 4: Simplify the coefficients inside the parentheses.
The division simplifies the coefficients:
5(x - 2/5)
Final Answer:
The GCF of 5x^2 - 10x is 5(x - 2/5).
Sure! To factor out the greatest common factor (GCF) from the expression 5x^2 - 10x, you first need to find the GCF of the coefficients 5 and -10. In this case, the GCF is 5, because it is the largest number that can divide evenly into both 5 and -10.
Now, to factor out the GCF using the distributive property, you can rewrite the expression as:
5(x^2 - 2x)
Here, we have factored out 5 from each term using the distributive property. The first term, 5x^2, becomes 5 multiplied by x^2, and the second term, -10x, becomes 5 multiplied by -2x.
Therefore, the factored form of 5x^2 - 10x is 5(x^2 - 2x).