# How do you FOIL (3x^{2}-6)(x^{9}-2)?

Alexander Day 2022-02-09 Answered
How do you FOIL $\left(3{x}^{2}-6\right)\left({x}^{9}-2\right)$?
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Jonathan Mckenzie
FOIL is acronym for First, Outsiders, Insiders and Last terms of your binominals. The four "names" indicate all the steps towards developing the multiplication of your binomials:
F $3{x}^{2}\cdot {x}^{9}=3{x}^{11}$
O $3{x}^{2}\cdot \left(-2\right)=-6{x}^{2}$
I $\left(-6\right)\cdot {x}^{9}=-6{x}^{9}$
L (-6)*(-2)=12
Now, you just add them
$3{x}^{11}-6{x}^{9}-6{x}^{2}+12$