Tricky Sneaky

Algebra Level 1

Simplify the expression below.

K − 2 ( K − ( 2 − K ) ) − 2 K - 2 ( K - ( 2 - K ) ) - 2

− 3 K + 2 -3K+2 3 K − 2 3K-2 − 3 K − 2 -3K-2 3 K + 2 3K+2

Hephzibah Manor by Hephzibah Manor , 19, USA

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2 solutions

k − 2 ( k − ( 2 − k ) ) − 2 = k − 2 ( k − 2 + k ) − 2 = k − 2 ( 2 k − 2 ) − 2 = k − 4 k + 4 − 2 = − 3 k + 2 k-2(k-(2-k))-2=k-2(k-2+k)-2=k-2(2k-2)-2=k-4k+4-2=-3k+2

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Hephzibah Manor
Jan 9, 2017

Distribute:

=k+(−2)(k)+(−2)(−2)+(−2)(k)+−2

=k+−2k+4+−2k+−2

Combine Like Terms :

=k+−2k+4+−2k+−2

=(k+−2k+−2k)+(4+−2)

=−3k+2

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Your solution is good but it's better to work inside the innermost parenthesis first, then inside the next parenthesis. The goal here is to eliminate the parenthesis first. In your first step, you distribute immediately that's why there are many parenthesis which is very confusing.

A Former Brilliant Member - 4 years, 5 months ago

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