Which factorization is equivalent to this expression?
−42k−54 (1 point)
Responses
−6(7k−9)
6(−7k+9)
−6(7k+9)
6(7k+9)
−6(7k+9)
To find the factorization equivalent to the expression -42k - 54, you can start by finding the greatest common factor (GCF) of the terms -42k and -54. The GCF of 42 and 54 is 6, and the sign will be negative since both terms are negative.
Therefore, the factorization equivalent to -42k - 54 is:
-6(7k + 9)
So, the correct option is: 6(−7k+9)
To determine which factorization is equivalent to the expression −42k−54, we can use the distributive property to factor out the greatest common factor, which in this case is -6.
Here's the step-by-step process:
1. Start with the given expression: −42k−54.
2. Look for the common factor in both terms. In this case, both -42 and -54 are divisible by -6.
3. Factor out the common factor -6 by dividing each term by -6. This yields: -6(7k+9).
Therefore, the correct factorization equivalent to the expression −42k−54 is −6(7k+9).