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Expansion of (x^2 - y^2)

State whether...

Question

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

$9 x^{2} - 4 x^{2}$ and $6 x^{2} + 4 x y$ is $3 x + 2 y; 2 x (3 x + 2 y) (3 x - 2 y)$
If true then enter $1$ and if false then enter $0$

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Solution

Factorizing $9 x^{2} - 4 x^{2}$ and $6 x^{2} + 4 x y,$
$9 x^{2} - 4 x^{2} = (3 x + 2 y) (3 x - 2 y)$
$6 x^{2} + 4 x y = 2 x (3 x + 2 y)$
H.C.F. $= 3 x + 2 y$
L.C.M. $= 2 x (3 x + 2 y) (3 x - 2 y)$

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