Expanding (2k – 7)(3k + 1)
This expression involves multiplying two binomials. To expand it, we can use the FOIL method:
First: Multiply the first terms of each binomial: 2k * 3k = 6k² Outer: Multiply the outer terms of the binomials: 2k * 1 = 2k Inner: Multiply the inner terms of the binomials: -7 * 3k = -21k Last: Multiply the last terms of each binomial: -7 * 1 = -7
Now, add all the terms together:
6k² + 2k - 21k - 7
Finally, combine the like terms:
6k² - 19k - 7
Therefore, the expanded form of (2k – 7)(3k + 1) is 6k² - 19k - 7.