How do you multiply x(x-5)(x-4)x(x5)(x4)?

1 Answer
Apr 14, 2015

x(x-5)(x-4)x(x5)(x4)

Multiply two terms at a time
(x) xx [(x-5)(x-4)](x)×[(x5)(x4)]

= (x) xx (x^2-9x+20)=(x)×(x29x+20)

=x^3-9x^2+20x=x39x2+20x

Stop here if you understood the above

Since you are still reading the most likely problem is in multiplying binomials.
There are numerous ways to approach this; perhaps the following will help:

( (xx,,x,+,(-4)), (,-,-,-,-), (x,|,color(blue)(x^2),,color(blue)(-4x)), (+,|,,,), (-5,|,color(blue)(-5x),,color(blue)(+20)), (,-,-,-,-), (,,color(red)(x^2),color(red)(-9x),color(red)(+20)) )

or maybe
(x-5)xx(x-4)
= (x)(x-4) - (5)(x-4)
=(x^2-4x) - (5x-20)
=(x^2-4x-5x+20
=x^2-9x+20