SOLUTION: How do you mutiply (4g+3h)(5g-3h) if it is a polynomial?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do you mutiply (4g+3h)(5g-3h) if it is a polynomial?      Log On


   

Question 118302: How do you mutiply (4g+3h)(5g-3h) if it is a polynomial?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%284g%2B3h%29%285g-3h%29 Start with the given expression

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


%28highlight%284g%29%2B3h%29%28highlight%285g%29-3h%29 Multiply the First terms:%284g%29%2A%285g%29=20g%5E2


%28highlight%284g%29%2B3h%29%285g%2Bhighlight%28-3h%29%29 Multiply the Outer terms:%284g%29%2A%28-3h%29=-12gh


%284g%2Bhighlight%283h%29%29%28highlight%285g%29-3h%29 Multiply the Inner terms:%283h%29%2A%285g%29=15hg


%284g%2Bhighlight%283h%29%29%285g%2Bhighlight%28-3h%29%29 Multiply the Last terms:%283h%29%2A%28-3h%29=-9h%5E2


20g%5E2-12gh%2B15hg-9h%5E2 Now collect every term to make a single expression



20g%5E2%2B3gh-9h%5E2 Now combine like terms


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Answer:
So %284g%2B3h%29%285g-3h%29 foils and simplifies to 20g%5E2%2B3gh-9h%5E2

In other words, %284g%2B3h%29%285g-3h%29=20g%5E2%2B3gh-9h%5E2