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How do you factor #9x^2-24x+16#?

1 Answer

Jun 5, 2015

This is a perfect square trinomial.

It can be recognised because it is of the form:

#a^2-2ab+b^2 = (a-b)^2#

with #a=3x# and #b=4#

#9x^2-24x+16 = (3x)^2-(2*(3x)*4)+4^2#

#= (3x-4)^2#

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