SOLUTION: multiply (y-7)^2

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Question 207002This question is from textbook algebra 1 an integrated approach
: multiply
(y-7)^2 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!

%28y-7%29%5E2 Start with the given expression.


%28y-7%29%28y-7%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%28y%29-7%29%28highlight%28y%29-7%29 Multiply the First terms:%28y%29%2A%28y%29=y%5E2.


%28highlight%28y%29-7%29%28y%2Bhighlight%28-7%29%29 Multiply the Outer terms:%28y%29%2A%28-7%29=-7%2Ay.


%28y%2Bhighlight%28-7%29%29%28highlight%28y%29-7%29 Multiply the Inner terms:%28-7%29%2A%28y%29=-7%2Ay.


%28y%2Bhighlight%28-7%29%29%28y%2Bhighlight%28-7%29%29 Multiply the Last terms:%28-7%29%2A%28-7%29=49.


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So we have the terms: y%5E2, -7%2Ay, -7%2Ay, 49


y%5E2-7%2Ay-7%2Ay%2B49 Now add every term listed above to make a single expression.


y%5E2-14%2Ay%2B49 Now combine like terms.


So %28y-7%29%5E2 FOILs to y%5E2-14%2Ay%2B49.


In other words, %28y-7%29%5E2=y%5E2-14%2Ay%2B49.