What is the standard equation form for #y=(3x-5)^2#?

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Answer 1 · 2016-12-03T15:13:53

#y=9x^2-30x+25#

This is a quadratic equation which is of standard form:

#y=ax^2+bx+c#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

In the same way #2^2 = 2xx2"; "(3x-5)^2=(3x-5)xx(3x-5)#

write as #y=color(blue)((3x-5))color(green)((3x-5))#

Multiply everything in the right hand bracket by everything in the left.

#y=color(green)(color(blue)(3x)(3x-5)color(blue)(" "-5)(3x-5) )#

#y=9x^3-15x" " -15x+25#

#y=9x^2-30x+25#