Question 132144


{{{(6x^6-3)(x^9-9)}}} Start with the given expression



Now let's FOIL the expression




Remember, when you FOIL an expression, you follow this procedure:



{{{(highlight(6x^6)-3)(highlight(x^9)-9)}}} Multiply the First terms:{{{(6x^6)*(x^9)=6x^15}}}



{{{(highlight(6x^6)-3)(x^9+highlight(-9))}}} Multiply the Outer terms:{{{(6x^6)*(-9)=-54x^6}}}



{{{(6x^6+highlight(-3))(highlight(x^9)-9)}}} Multiply the Inner terms:{{{(-3)*(x^9)=-3x^9}}}



{{{(6x^6+highlight(-3))(x^9+highlight(-9))}}} Multiply the Last terms:{{{(-3)*(-9)=27}}}



{{{6x^15-54x^6-3x^9+27}}} Now collect every term to make a single expression




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Answer:

So {{{(6x^6-3)(x^9-9)}}} foils and simplifies to  {{{6x^15-54x^6-3x^9+27}}}


In other words, {{{(6x^6-3)(x^9-9)=6x^15-54x^6-3x^9+27}}}