SOLUTION: (7x-8)^2

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Question 185546: (7x-8)^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%287x-8%29%5E2 Start with the given expression.


%287x-8%29%287x-8%29 Expand. Remember something like x%5E2=x%2Ax.


Now let's FOIL the expression.


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


%28highlight%287x%29-8%29%28highlight%287x%29-8%29 Multiply the First terms:%287%2Ax%29%2A%287%2Ax%29=49%2Ax%5E2.


%28highlight%287x%29-8%29%287x%2Bhighlight%28-8%29%29 Multiply the Outer terms:%287%2Ax%29%2A%28-8%29=-56%2Ax.


%287x%2Bhighlight%28-8%29%29%28highlight%287x%29-8%29 Multiply the Inner terms:%28-8%29%2A%287%2Ax%29=-56%2Ax.


%287x%2Bhighlight%28-8%29%29%287x%2Bhighlight%28-8%29%29 Multiply the Last terms:%28-8%29%2A%28-8%29=64.


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So we have the terms: 49%2Ax%5E2, -56%2Ax, -56%2Ax, and 64


49%2Ax%5E2-56%2Ax-56%2Ax%2B64 Now add every term listed above to make a single expression.


49%2Ax%5E2-112%2Ax%2B64 Now combine like terms.


So %287x-8%29%5E2 FOILs to 49%2Ax%5E2-112%2Ax%2B64.


In other words, %287x-8%29%5E2=49%2Ax%5E2-112%2Ax%2B64.