SOLUTION: (11x+3y)(x+4y)

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Question 173300: (11x+3y)(x+4y)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%2811x%2B3y%29%28x%2B4y%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%2811x%29%2B3y%29%28highlight%28x%29%2B4y%29 Multiply the First terms:%2811%2Ax%29%2A%28x%29=11%2Ax%5E2.


%28highlight%2811x%29%2B3y%29%28x%2Bhighlight%284y%29%29 Multiply the Outer terms:%2811%2Ax%29%2A%284%2Ay%29=44%2Ax%2Ay.


%2811x%2Bhighlight%283y%29%29%28highlight%28x%29%2B4y%29 Multiply the Inner terms:%283%2Ay%29%2A%28x%29=3%2Ax%2Ay.


%2811x%2Bhighlight%283y%29%29%28x%2Bhighlight%284y%29%29 Multiply the Last terms:%283%2Ay%29%2A%284%2Ay%29=12%2Ay%5E2.


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11%2Ax%5E2%2B44%2Ax%2Ay%2B3%2Ax%2Ay%2B12%2Ay%5E2 Now collect every term to make a single expression.


11%2Ax%5E2%2B47%2Ax%2Ay%2B12%2Ay%5E2 Now combine like terms.


So %2811x%2B3y%29%28x%2B4y%29 FOILs to 11%2Ax%5E2%2B47%2Ax%2Ay%2B12%2Ay%5E2.


In other words, %2811x%2B3y%29%28x%2B4y%29=11%2Ax%5E2%2B47%2Ax%2Ay%2B12%2Ay%5E2.