Question 147387


{{{(9x^6-2)(x^7-1) }}} Start with the given expression.



Now let's FOIL the expression.



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



{{{(highlight(9x^6)-2)(highlight(x^7)-1)}}} Multiply the <font color="red">F</font>irst terms:{{{(9*x^6)*(x^7)=9*x^13}}}.



{{{(highlight(9x^6)-2)(x^7+highlight(-1))}}} Multiply the <font color="red">O</font>uter terms:{{{(9*x^6)*(-1)=-9*x^6}}}.



{{{(9x^6+highlight(-2))(highlight(x^7)-1)}}} Multiply the <font color="red">I</font>nner terms:{{{(-2)*(x^7)=-2*x^7}}}.



{{{(9x^6+highlight(-2))(x^7+highlight(-1))}}} Multiply the <font color="red">L</font>ast terms:{{{(-2)*(-1)=2}}}.



{{{9*x^13-9*x^6-2*x^7+2}}} Now collect every term to make a single expression.



So {{{(9x^6-2)(x^7-1) }}} FOILS to {{{9*x^13-9*x^6-2*x^7+2}}}.



In other words, {{{(9x^6-2)(x^7-1) =9*x^13-9*x^6-2*x^7+2}}}.