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almond37 [142]
3 years ago
8

What is the greatest common factor of 9x^{2}y9x 2 y and 5x^{4}y^{2}5x 4 y 2 ?

Mathematics
1 answer:
Musya8 [376]3 years ago
7 0
ANSWER

The greatest common factor is
{x}^{2} y

EXPLANATION

We want to find the greatest common factor of

9 {x}^{2} y

and

5 {x}^{4}  {y}^{2}

The prime factorizations are;


9 {x}^{2} y =  {3}^{2}  \times  {x}^{2}  \times y


and


5 {x}^{4}  {y}^{2}  = 5 \times  {x}^{4}  \times  {y}^{2}


The product of the least powers of the common factors is the greatest common factor.


=  {x}^{2} y
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