Is -6(7k + 9) equivalent to 6(-7k - 9)
Yes, -6(7k + 9) is equivalent to 6(-7k - 9). When you distribute the -6 to each term inside the parentheses, you get -42k - 54. Similarly, when you distribute the 6 to each term inside the parentheses, you also get -42k - 54. Therefore, -6(7k + 9) is equivalent to 6(-7k - 9).
True or false: It can be -6(7k - 9)
True. It can be -6(7k - 9) as well. When you distribute the -6 to each term inside the parentheses, you get -42k + 54. Therefore, -6(7k - 9) is another equivalent expression.
To determine if -6(7k + 9) is equivalent to 6(-7k - 9), we need to simplify both expressions and compare them.
Let's start with -6(7k + 9):
Step 1: Distribute (-6) across the terms inside the parentheses:
-6 * 7k + (-6) * 9
This gives us:
-42k - 54
Now let's simplify 6(-7k - 9):
Step 1: Distribute 6 across the terms inside the parentheses:
6 * (-7k) + 6 * (-9)
This gives us:
-42k - 54
As you can see, -6(7k + 9) simplifies to -42k - 54, and 6(-7k - 9) also simplifies to -42k - 54. Since both expressions simplify to the same result, -6(7k + 9) is indeed equivalent to 6(-7k - 9).