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How do you factor the trinomial #x^2-6/5x+9/25#?

1 Answer

Shwetank Mauria

Jun 1, 2016

#x^2-6/5x+9/25=(x-3/5)^2#

Explanation:

As #9/25# is the square of #3/5# and middle term #6/5# is double of this number, (compare it with #(x-a)^2=x^2-2ax+a^2#)

#x^2-6/5x+9/25# is a complete square.

#x^2-6/5x+9/25#

= #x^2-2xx3/5xx x+(3/5)^2#

= #(x-3/5)^2#

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