SOLUTION: s2-10st+25t2. m2-16n2. 5x2-125y2.

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Question 701163: s2-10st+25t2.
m2-16n2.
5x2-125y2.

Answer by Simnepi(216)   (Show Source): You can put this solution on YOUR website!
from the binomial theorem we know that
Comparing the equations we see that therefore a=s (by taking the square root of both sides)
Also we see that
from this we deduce that b=5t .
giving
next
again, using the binomial theorem we know that
Comparing the equations we see that therefore a=m.
Also we see that
again, we can take the square root of both sides to find b=4n
Giving
next
let's look for a common factor! Both terms can be divided by 5 so lets take that out.
Now this looking like in the second problem.
using the binomial theorem we know that
Comparing the equations giving a=x
and from which we deduce b=5y
This gives


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