SOLUTION: Multiply: (3x-5)(7x-5)

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Question 146512This question is from textbook Algebra 1 An Incremental Development
: Multiply: (3x-5)(7x-5) This question is from textbook Algebra 1 An Incremental Development

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

%283x-5%29%287x-5%29 Start with the given expression.


Now let's FOIL the expression.


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


%28highlight%283x%29-5%29%28highlight%287x%29-5%29 Multiply the First terms:%283%2Ax%29%2A%287%2Ax%29=21%2Ax%5E2.


%28highlight%283x%29-5%29%287x%2Bhighlight%28-5%29%29 Multiply the Outer terms:%283%2Ax%29%2A%28-5%29=-15%2Ax.


%283x%2Bhighlight%28-5%29%29%28highlight%287x%29-5%29 Multiply the Inner terms:%28-5%29%2A%287%2Ax%29=-35%2Ax.


%283x%2Bhighlight%28-5%29%29%287x%2Bhighlight%28-5%29%29 Multiply the Last terms:%28-5%29%2A%28-5%29=25.


21%2Ax%5E2-15%2Ax-35%2Ax%2B25 Now collect every term to make a single expression.


21%2Ax%5E2-50%2Ax%2B25 Now combine like terms.


So %283x-5%29%287x-5%29 FOILS to 21%2Ax%5E2-50%2Ax%2B25.


In other words, %283x-5%29%287x-5%29=21%2Ax%5E2-50%2Ax%2B25.