What makes this a perfect square K^2 - 30k + ?

Question

Mathematics

Zoey

19 April, 09:06

What makes this a perfect square K^2 - 30k + ?

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Answers (2)

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Hayley Stevenson · Answer 1

Hayley Stevenson 19 April, 11:45

0

225.

Step-by-step explanation:

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Jean Daugherty · Answer 2

225

Step-by-step explanation:

in (a+b) ^2, it becomes a^2+2ab+b^2. A in this case would be "K" and b in this case would be 15. K^2+2 (K) (15) + (15) ^2. That equals k^2+30k+225. The last part is 225.

My trick to do this quickly is you get the "2ab" part. You divide the coefficient by 2 and then square it. For example, the coefficient in 30K is 30. 30/2 is 15. 15^is 225.