Simplify the expression k-2 (k - (2-k)) - 2

Question

Georgia Randall

Mathematics

5 August, 23:58

Simplify the expression k-2 (k - (2-k)) - 2

+4

Answers (2)

Know the Answer?

Kyla Brady · Answer 1

K-2 (k - (2-k)) - 2

=k-2 (2k-2) - 2

=k-4k+4-2

=2-3k

Xander Morrison · Answer 2

Simplify the following:

k - 2 (k - (2 - k)) - 2

- (2 - k) = k - 2:

k - 2 (k + k - 2) - 2

Grouping like terms, k + k - 2 = (k + k) - 2:

k - 2 ((k + k) - 2) - 2

k + k = 2 k:

k - 2 (2 k - 2) - 2

-2 (2 k - 2) = 4 - 4 k:

k + 4 - 4 k - 2

Grouping like terms, k - 4 k - 2 + 4 = (4 - 2) + (k - 4 k):

(4 - 2) + (k - 4 k)

k - 4 k = - 3 k:

-3 k + (4 - 2)

4 - 2 = 2:

Answer: 2 - 3 k