Question 333886


{{{(8z-u)(3z+4u)}}} Start with the given expression.



Now let's FOIL the expression.



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



{{{(highlight(8z)-u)(highlight(3z)+4u)}}} Multiply the <font color="red">F</font>irst terms:{{{(8z)(3z)=24z^2}}}.



{{{(highlight(8z)-u)(3z+highlight(4u))}}} Multiply the <font color="red">O</font>uter terms:{{{(8z)(4u)=32zu}}}.



{{{(8z+highlight(-u))(highlight(3z)+4u)}}} Multiply the <font color="red">I</font>nner terms:{{{(-u)(3z)=-3zu}}}.



{{{(8z+highlight(-u))(3z+highlight(4u))}}} Multiply the <font color="red">L</font>ast terms:{{{(-u)(4u)=-4u^2}}}.



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So we have the terms: {{{24z^2}}}, {{{32zu}}}, {{{-3zu}}}, {{{-4u^2}}} 



{{{24z^2+32zu-3zu-4u^2}}} Now add every term listed above to make a single expression.



{{{24z^2+29zu-4u^2}}} Now combine like terms.



So {{{(8z-u)(3z+4u)}}} FOILs to {{{24z^2+29zu-4u^2}}}.



In other words, {{{(8z-u)(3z+4u)=24z^2+29zu-4u^2}}}.