SOLUTION: Multiply: (g-6h)(g-6h)

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Question 176961This question is from textbook
: Multiply: (g-6h)(g-6h) This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28g-6h%29%28g-6h%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%28g%29-6h%29%28highlight%28g%29-6h%29 Multiply the First terms:%28g%29%2A%28g%29=g%5E2.


%28highlight%28g%29-6h%29%28g%2Bhighlight%28-6h%29%29 Multiply the Outer terms:%28g%29%2A%28-6%2Ah%29=-6%2Ag%2Ah.


%28g%2Bhighlight%28-6h%29%29%28highlight%28g%29-6h%29 Multiply the Inner terms:%28-6%2Ah%29%2A%28g%29=-6%2Ag%2Ah.


%28g%2Bhighlight%28-6h%29%29%28g%2Bhighlight%28-6h%29%29 Multiply the Last terms:%28-6%2Ah%29%2A%28-6%2Ah%29=36%2Ah%5E2.


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g%5E2-6%2Ag%2Ah-6%2Ag%2Ah%2B36%2Ah%5E2 Now collect every term to make a single expression.


g%5E2-12%2Ag%2Ah%2B36%2Ah%5E2 Now combine like terms.


So %28g-6h%29%28g-6h%29 FOILs to g%5E2-12%2Ag%2Ah%2B36%2Ah%5E2.


In other words, %28g-6h%29%28g-6h%29=g%5E2-12%2Ag%2Ah%2B36%2Ah%5E2.