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GCD of Polynomials

State whether...

Question

State whether True or False.
The H.C.F. and L.C.M. of:

$2 x y^{2}, 5 x^{2} y^{3}$ and $4 x^{3} y$ is $x y; 20 x^{3} y^{3}$
If true then enter $1$ and if false then enter $0$

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Solution

$F a c t o r i z i n g 2 x y^{2}, 5 x^{2} y^{3} a n d 4 x^{3} y, 2 x y^{2} = 2 * x * y^{2} 5 x^{2} y^{3} = 5 * x^{2} * y^{3} 4 x^{3} y = 4 * x^{3} * y H . C . F . = x * y = x y L . C . M . = 4 * 5 * x^{3} * y^{3} = 20 x^{3} y^{3}$

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