What is the standard form of a polynomial #(3^2 - 5x) - (x^2+4x +3)#?

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Answer 1 · 2017-05-30T23:35:04

#-x^2-9x+6#

#(3^2-5x)-(x^2+4x+3)#

First, let's deal with the exponent:

#(9-5x)-(x^2+4x+3)#

Now let's distribute the negative in front of the second component:

#(9-5x)+(-x^2-4x-3)#

We no longer need the parantheses, so let's combine like terms:

#color(orange)(9)color(blue)(-5x)+color(red)(-x^2)color(blue)(-4x)color(orange)(-3)#

#-x^2-9x+6#