What is the product of #2x+3# and #4x^2-5x+6#?

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Answer 1 · 2016-12-27T01:55:26

#8x^3+2x^2-3x+18#

We have:

#(2x+3)(4x^2-5x+6)#

Now let's distribute this piece by piece:

#(2x)(4x^2)=8x^3#
#(2x)(-5x)=-10x^2#
#(2x)(6)=12x#
#(3)(4x^2)=12x^2#
#(3)(-5x)=-15x#
#(3)(6)=18#

And now we add them all up (I'm going to group terms in the adding):

#8x^3-10x^2+12x^2+12x-15x+18#

And now simplify:

#8x^3+2x^2-3x+18#