SOLUTION: (k plus 10) squared

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Question 547996: (k plus 10) squared
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28k%2B10%29%5E2 Start with the given expression.


%28k%2B10%29%28k%2B10%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%28k%29%2B10%29%28highlight%28k%29%2B10%29 Multiply the First terms:%28k%29%2A%28k%29=k%5E2.


%28highlight%28k%29%2B10%29%28k%2Bhighlight%2810%29%29 Multiply the Outer terms:%28k%29%2A%2810%29=10%2Ak.


%28k%2Bhighlight%2810%29%29%28highlight%28k%29%2B10%29 Multiply the Inner terms:%2810%29%2A%28k%29=10%2Ak.


%28k%2Bhighlight%2810%29%29%28k%2Bhighlight%2810%29%29 Multiply the Last terms:%2810%29%2A%2810%29=100.


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So we have the terms: k%5E2, 10%2Ak, 10%2Ak, 100


k%5E2%2B10%2Ak%2B10%2Ak%2B100 Now add every term listed above to make a single expression.


k%5E2%2B20k%2B100 Now combine like terms.


So %28k%2B10%29%5E2 FOILs to k%5E2%2B20k%2B100.


In other words, %28k%2B10%29%5E2=k%5E2%2B20k%2B100.