Question

Solve:
K(k+1) - 3k(k+1)

Answer 1

Answer:

k = 0 and k = -1

Step-by-step explanation:

To solve this, first distribute the terms inside the parenthesis. This should give you: k^2 + k - 3k^2 - 3k

Then, combine like terms to get: -2k^2 - 2k = 0

In this, you can factor out a -2k, giving you the new equation: -2k (k + 1) = 0

Set -2k equal to 0 and k + 1 equal to 0.

-2k = 0

Divide -2 onto both sides, leaving you with k = 0

k + 1 = 0

Subtract 1 from both sides, leaving you with k = -1

Answer 2

Answer:

-2k(k+1)

Step-by-step explanation:

Let's rewrite the equation to make it a little bit easier:

k(1+k) - 3k(1+k)

Then, factor out the common term k(1+k):

k(1+k)(1-3)

Simplify:

-2k(k+1)

Hope this helps!!