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5 votes
T^2+3s+3t+st=()(t+s)

User BobV
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1 Answer

5 votes
We can figure out the factor by just intelligent guessing. we see a
t^2 on the LHS so RHS should generate it. So the missing factor should contain a
t. LHS also has a
3s. To get it the factor should contain a
+3. Now we can check if other terms of LHS will be generated from the RHS. Our RHS is
(t+3)(t+s)=t^2+3s+3t+st=RHS. Bingo!!

But more mathematical method will be as follows:

image
User Cendak
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8.1k points