How do you multiply #(2x-4)(x^2 -3x +10)#?

1 Answer
Don't Memorise
Jul 27, 2015

#=2x^3 −10x^2 +32x -40#

Explanation:

#color(blue)((2x−4))(x^2−3x+10)#

Here, we need to multiply each term within the first bracket with all the three terms of the second bracket.

#=color(blue)((2x))(x^2−3x+10) −(color(blue)(4))(x^2−3x+10)#

#=2x^3−6x^2+20x −4x^2 +12x-40#

Grouping like terms
#=2x^3 −4x^2−6x^2 +12x+20x -40#

#=2x^3 −10x^2 +32x -40#

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