SOLUTION: express as a trinomial: (2a-3)(a+5)=

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Question 118599: express as a trinomial: (2a-3)(a+5)=
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282a-3%29%28a%2B5%29 Start with the given expression



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


%28highlight%282a%29-3%29%28highlight%28a%29%2B5%29 Multiply the First terms:%282a%29%2A%28a%29=2a%5E2


%28highlight%282a%29-3%29%28a%2Bhighlight%285%29%29 Multiply the Outer terms:%282a%29%2A%285%29=10a


%282a%2Bhighlight%28-3%29%29%28highlight%28a%29%2B5%29 Multiply the Inner terms:%28-3%29%2A%28a%29=-3a


%282a%2Bhighlight%28-3%29%29%28a%2Bhighlight%285%29%29 Multiply the Last terms:%28-3%29%2A%285%29=-15


2a%5E2%2B10a-3a-15 Now collect every term to make a single expression



2a%5E2%2B7a-15 Now combine like terms


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Answer:
So %282a-3%29%28a%2B5%29 foils and simplifies to 2a%5E2%2B7a-15

In other words, %282a-3%29%28a%2B5%29=2a%5E2%2B7a-15