Factor this expression completely.35x−40 (1 point)
To factor the expression completely, we need to factor out the greatest common factor (GCF) from the terms 35x and -40.
The GCF of 35x and -40 is 5.
Factoring out 5, we get:
5(7x - 8)
So, the expression is factored completely into 5(7x - 8).
To factor the expression 35x - 40, you can first look for the greatest common factor (GCF) of the two terms, 35x and 40.
Step 1: Find the GCF
The GCF of 35x and 40 is 5, since both terms are divisible by 5.
Step 2: Divide each term by the GCF
Dividing 35x by 5, we get 7x.
Dividing 40 by 5, we get 8.
Step 3: Rewrite the expression using the GCF
35x - 40 can be written as 5(7x - 8).
Therefore, the factored form of the expression 35x - 40 is 5(7x - 8).
To factor the expression 35x - 40 completely, we first look for the greatest common factor (GCF) of the two terms. In this case, both terms are divisible by 5, so we can factor out 5:
35x - 40 = 5(7x - 8)
Now we have factored out the GCF, but we can still simplify further by trying to factor the remaining binomial (7x - 8). However, this binomial cannot be factored any further using integers or fractions. Therefore, the expression 35x - 40 is completely factored as 5(7x - 8).