Question 253687
  

{{{(4t+7)^2}}} Start with the given expression.



{{{(4t+7)(4t+7)}}} Expand. Remember something like {{{x^2=x*x}}}.



Now let's FOIL the expression.



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



{{{(highlight(4t)+7)(highlight(4t)+7)}}} Multiply the <font color="red">F</font>irst terms:{{{(4t)(4t)=16t^2}}}.



{{{(highlight(4t)+7)(4t+highlight(7))}}} Multiply the <font color="red">O</font>uter terms:{{{(4t)(7)=28t}}}.



{{{(4t+highlight(7))(highlight(4t)+7)}}} Multiply the <font color="red">I</font>nner terms:{{{(7)(4t)=28t}}}.



{{{(4t+highlight(7))(4t+highlight(7))}}} Multiply the <font color="red">L</font>ast terms:{{{(7)(7)=49}}}.



---------------------------------------------------

So we have the terms: {{{16t^2}}}, {{{28t}}}, {{{28t}}}, {{{49}}} 



{{{16t^2+28t+28t+49}}} Now add every term listed above to make a single expression.



{{{16t^2+56t+49}}} Now combine like terms.



So {{{(4t+7)^2}}} FOILs to {{{16t^2+56t+49}}}.



In other words, {{{(4t+7)^2=16t^2+56t+49}}}.