Asked by Timmy
Factorise 25k^2-20+(4/k^2)
Answers
Answered by
Reiny
I suspect a perfect square, since I noticed that the first and last terms are perfect squares, so my suspicion points to
(5k ..... 2/k)^2
the middle term is negative, so I guess at
(5k - 2/k)^2
check:
(5k - 2/k)(5k - 2/k)
= 25k^2 -10k/k - 10k/k + 4/k^2
= 25k^2 - 20 + 4/k^2 , I was right.
(5k ..... 2/k)^2
the middle term is negative, so I guess at
(5k - 2/k)^2
check:
(5k - 2/k)(5k - 2/k)
= 25k^2 -10k/k - 10k/k + 4/k^2
= 25k^2 - 20 + 4/k^2 , I was right.
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