Step-by-step explanation:
We have
(2x+3)(4x^2-5x+6)
Distribute it
(2x) (4x^2)=8x^3
(2x)(-5x)=-10x^2
(2x)(6)=12x
(3)(4x^2)=12x^2
(3)(-5x)=-15x(3)(6)=18
Now we add all of them up:
8x^3-10x^2+12x^2+12x-15x+18
Now we simply it:
8x^3+2x^2-3x+18
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