Find the GCF of 42m - 28n.
The GCF of 42m and 28n is 14.
Use properties of operations to factor 8w + 16 using GCF
8(w+2)
6(2w+10)
4(2w+4)
2(4w+8)
None of the provided options are correct.
To find the greatest common factor (GCF) of 8w + 16, we look for the largest number or variable that divides evenly into both terms.
First, we can factor out the common factor of 8 from both terms:
8w + 16 = 8(w + 2)
Now, let's determine if there are any additional common factors we can factor out of the expression. Since there are no other common factors, the GCF of 8w + 16 is 8.
Factors -27h + 6 using the GCF
To find the greatest common factor (GCF) of -27h + 6, we look for the largest number or variable that divides evenly into both terms.
In this case, the GCF is 3. To factor out the 3 from both terms, we have:
-27h + 6 = 3(-9h + 2)
Expand and distribute
-5(-3 - 11g)
When we expand and distribute -5(-3 - 11g), we need to multiply -5 by each term inside the parentheses:
-5 * -3 = 15
-5 * -11g = 55g
Therefore, -5(-3 - 11g) = 15 + 55g.
Expand and distribute
-5(-3-11g)
55g-15
-55g-15
55g+15
-55g+15
When we expand and distribute -5(-3-11g), we multiply -5 by each term inside the parentheses:
-5 * -3 = 15
-5 * -11g = 55g
Therefore, -5(-3-11g) = 15 + 55g.
So, the correct expansion and distribution is 15 + 55g.
Simplify by combining like terms
2/3x + 3/10 y - 5/8x + 4/10y