( l + m )² - ( l - m )²
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Answer: 4m
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Explanation:
Distribute all of the parentheses as shown below:
(l + m)(l + m)
Multiply the l first
l * l = l^2
Now the m
l * m = lm
Now the second m
m * l = lm
Again.
m * m = m^2
Write it as one equation
Now distribute the negative sign for the second equation
-(l - m) becomes (-l + m)^2
Distribute
(-l + m)(-l + m)
Distribute the l and so forth
(-l * -l) = l^2
-lm
-lm
m^2
Write it as one equation
Combine both equations and add like factors
Thus:
Remove the gcf, the gcf is always located outside:
Answer:
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