The expression is simplified to give 2 ( m² + m + 2Im ) = 0
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How to simplify the expression</h3>
Given the expression;
(1+m)²= (1-m)²+ 4lm,
Expand the expression
( 1 +m) ( 1 + m) = ( 1 + m) ( 1 - m) + 4Im
1 + m + m + m² = 1 - m + m - m² + 4Im
collect like terms
1 + 2m + m² = 1 - m² + 4Im
1 - 1 + m² + m² + 2m + 4Im
2m² + 2m + 4lm = 0
simplify
2 ( m² + m + 2Im ) = 0
Thus, the expression is simplified to give 2 ( m² + m + 2Im ) = 0
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Negative 72.75 is your product. It is very simple once you understand it.
Answer:
Step-by-step explanation:
You are to assume in both problems that the two triangles are similar. That is a very dangerous assumption -- especially in later math classes. But in this case, there is no other way to do the problem. The two sets of triangles look like they are proportional. So set up two ratios that are = to each other
On the left
long side small triange / long side large triangle = base small triangle / base large triangle
On the right
hypotenuse/longest leg = hypotenuse / longest leg.
Problem A
Set up the similar Proportion
5/40 = x/20 Cross Multiply
40x = 20*5
40x = 100 Divide by 40
x = 100/40
x = 2.5
Problem B
Again set up the similar triangle proportion
15/10 = x/2 Multiply by 2
15*2/10 = x
3 = x
Your answer will be B 12.5% because there's one whole that equals 10 and the second box that has 2 and a half that's equals 2.5 and then you add them together...
10+2.5=12.5
So your answer is B 12.5.
Answer:
2+m-1+m
Step-by-step explanation:
By combining like terms, the given expression and the above answer both simplify to ...
2m+1
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The other available choices do not.