Question 118599


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




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



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



{{{(highlight(2a)-3)(a+highlight(5))}}} Multiply the Outer terms:{{{(2a)*(5)=10a}}}



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



{{{(2a+highlight(-3))(a+highlight(5))}}} Multiply the Last terms:{{{(-3)*(5)=-15}}}



{{{2a^2+10a-3a-15}}} Now collect every term to make a single expression




{{{2a^2+7a-15}}} Now combine like terms



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Answer:

So {{{(2a-3)(a+5)}}} foils and simplifies to  {{{2a^2+7a-15}}}


In other words, {{{(2a-3)(a+5)=2a^2+7a-15}}}