Question 133004

{{{(7x^8-8)(x^9-5)}}} Start with the given expression



Now let's FOIL the expression




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



{{{(highlight(7x^8)-8)(highlight(x^9)-5)}}} Multiply the First terms:{{{(7x^8)*(x^9)=7x^17}}}



{{{(highlight(7x^8)-8)(x^9+highlight(-5))}}} Multiply the Outer terms:{{{(7x^8)*(-5)=-35x^8}}}



{{{(7x^8+highlight(-8))(highlight(x^9)-5)}}} Multiply the Inner terms:{{{(-8)*(x^9)=-8x^9}}}



{{{(7x^8+highlight(-8))(x^9+highlight(-5))}}} Multiply the Last terms:{{{(-8)*(-5)=40}}}



{{{7x^17-35x^8-8x^9+40}}} Now collect every term to make a single expression




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Answer:

So {{{(7x^8-8)(x^9-5)}}} foils and simplifies to  {{{7x^17-35x^8-8x^9+40}}}


In other words, {{{(7x^8-8)(x^9-5)=7x^17-35x^8-8x^9+40}}}