SOLUTION: multiply (x-3)(x+5)

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Question 207437This question is from textbook algebra 1 an integrated approach
: multiply
(x-3)(x+5)
 This question is from textbook algebra 1 an integrated approach

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

%28x-3%29%28x%2B5%29 Start with the given expression.


Now let's FOIL the expression.


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


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


%28highlight%28x%29-3%29%28x%2Bhighlight%285%29%29 Multiply the Outer terms:%28x%29%2A%285%29=5%2Ax.


%28x%2Bhighlight%28-3%29%29%28highlight%28x%29%2B5%29 Multiply the Inner terms:%28-3%29%2A%28x%29=-3%2Ax.


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


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So we have the terms: x%5E2, 5%2Ax, -3%2Ax, and -15


x%5E2%2B5%2Ax-3%2Ax-15 Now add every term listed above to make a single expression.


x%5E2%2B2%2Ax-15 Now combine like terms.


So %28x-3%29%28x%2B5%29 FOILs to x%5E2%2B2%2Ax-15.


In other words, %28x-3%29%28x%2B5%29=x%5E2%2B2%2Ax-15.