Question 117820


{{{(3x-1)(2x+5)}}} Start with the given expression


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



{{{(highlight(3x)-1)(highlight(2x)+5)}}} Multiply the First terms:{{{(3x)*(2x)=6x^2}}}



{{{(highlight(3x)-1)(2x+highlight(5))}}} Multiply the Outer terms:{{{(3x)*(5)=15x}}}



{{{(3x+highlight(-1))(highlight(2x)+5)}}} Multiply the Inner terms:{{{(-1)*(2x)=-2x}}}



{{{(3x+highlight(-1))(2x+highlight(5))}}} Multiply the Last terms:{{{(-1)*(5)=-5}}}



{{{6x^2+15x-2x-5}}} Now collect every term to make a single expression




{{{6x^2+13x-5}}} Now combine like terms



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Answer:

So {{{(3x-1)(2x+5)}}} foils and simplifies to  {{{6x^2+13x-5}}}


In other words, {{{(3x-1)(2x+5)=6x^2+13x-5}}}