Question 109384


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


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



Multiply the First terms:{{{(5x)*(x)=5x^2}}}



Multiply the Outer terms:{{{(5x)*(-7)=-35x}}}



Multiply the Inner terms:{{{(-8)*(x)=-8x}}}



Multiply the Last terms:{{{(-8)*(-7)=56}}}



{{{5x^2-35x-8x+56}}} Now collect every term to make a single expression




{{{5x^2-43x+56}}} Now combine like terms


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Answer:

So {{{(5x-8)(x-7)}}} foils and simplifies to  {{{5x^2-43x+56}}}


In other words, {{{(5x-8)(x-7)=5x^2-43x+56}}}


Notice how  {{{5x^2-43x+56}}} factors back to the original expression {{{(5x-8)(x-7)}}} (if you need help with factoring, check out this <a href="http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/change-this-name4450.solver">solver</a>). So this verifies our answer.