How do you find the product #(5 + x^2 - 2x) (2x - 3)#?

1 Answer
Guilherme N.
May 18, 2015

You just multiply first one element by all the elements in the other factor, then proceed the same way.

For example, let's just rearrange it as #(2x-3)(5+x^2-3x)#

First, we multiply #2x# by all the #(5+x^2-3x)# factor, and then we do the same for #-3#.

So,
#2x(5+x^2-2x)=10x+2x^3-4x^2)#
#-3(5+x^2-2x)=-15-3x^2+6x#

Now, we just sum these results up, combining those elements with the same exponent in the variable #x#.

Final answer: #2x^3-7x^2+16x-15#

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