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Q.

Find the common factor of x 2 y   and x y 2  .


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a

xy

b

x+y

c

x-y

d

x 2 + y 2   

answer is A.

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Detailed Solution

Given terms: x 2 y   and x y 2  .
Factorization is the process of identifying two or more expressions/numbers (referred to as factors) whose product equals the given expressions/numbers.
Factorize x²y.
x 2 y=x×x×y  
Factorize -x²y.
 - x y 2 =1×x×y×y  
It is worth noting that the common factor in both terms is: xy.
Hence, option 1 is correct.
 
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Find the common factor of x 2 y   and −x y 2  .