simplify: (2k+7)(7k-1)\

can someone please help me solve this problem and go through the steps to solving it with me. Its too confusing for me. Thank You

Use FOIL (first, inner, outer, last)

Multiply the first 2k*7k
Then multiply the inner 7*7k
Next, the outer 2k*-1
Finally, the last 7*-1
It will look like this:
14k^2 + 49k - 2k -7
Combine your like terms (the ks) and you are done!
Hope this helps!

Sure! I'd be happy to help you simplify the expression (2k+7)(7k-1). Let's go through the steps together:

Step 1: Distribute the first term of the first set of parentheses, which is 2k, to both terms in the second set of parentheses:
(2k)(7k) + (2k)(-1)

Step 2: Distribute the second term of the first set of parentheses, which is 7, to both terms in the second set of parentheses:
(7)(7k) + (7)(-1)

Step 3: Simplify each term:
14k^2 - 2k + 49k - 7

Step 4: Combine like terms:
14k^2 + 47k - 7

So, the simplified form of (2k+7)(7k-1) is 14k^2 + 47k - 7.

Was that clear? Let me know if you have any further questions!