How do you simplify #(4x^2 - 1)(x^2 - 6x + 9)#?

1 Answer
Jim G.
Feb 7, 2017

#4x^4-24x^3+35x^2+6x-9#

Explanation:

Each term in the second bracket must be multiplied by each term in the first bracket.
This can be done as shown.

#(color(red)(4x^2-1))(x^2-6x+9)#

#=color(red)(4x^2)(x^2-6x+9)color(red)(-1)(x^2-6x+9)#

distributing.

#=color(blue)(4x^4)color(red)(-24x^3)color(magenta)(+36x^2)color(magenta)(-x^2)color(green)(+6x)color(purple)(-9)#

collecting like terms.

#=color(blue)(4x^4)color(red)(-24x^3)color(magenta)(+(36x^2-x^2)color(green)(+6x)color(purple)(-9)#

#=4x^4-24x^3+35x^2+6x-9#

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