factor using GCF
8p-28
The GCF of 8p and 28 is 4. Thus, we can factor out 4 from both terms:
8p-28 = 4(2p-7)
To factor the expression 8p - 28 using the greatest common factor (GCF), we need to find the largest number or variable that divides evenly into both terms. In this case, the GCF is 4, so we can rewrite the expression as:
4(2p - 7)
Therefore, the factored form of 8p - 28 is 4(2p - 7).
To factor the expression 8p - 28 using the greatest common factor (GCF), we need to find the largest number or expression that divides evenly into both terms.
First, let's look for the GCF of the coefficients (numbers in front of the terms). The coefficients of 8p and -28 are 8 and -28. The GCF of 8 and 28 is 4, which means we can divide both terms by 4.
Dividing 8p by 4 gives us 2p, and dividing -28 by 4 gives us -7. Now we have:
8p - 28 = 4(2p) - 4(7)
Next, we can factor out the GCF of the variables (letters). In this case, the variable in both terms is p. The GCF of p and p is simply p.
Factoring out p from each term gives us:
8p - 28 = 4p(2) - 4(7)
Simplifying further, we have:
8p - 28 = 8p - 28
So, the factored form of the expression 8p - 28 using the GCF is 4p(2) - 4(7) or simply 8p - 28.