HCF of $6 x^{2} (x - y) (x^{2} + x y + y^{2}), (x - y)^{2}$ and $12 x (x - y)^{3}$ is

6 x (x - y)

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(x - y)

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6 x

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x (x - y)

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Solution

The correct option is B $(x - y)$
$T h e g i v e n e x p r e s s i o n a r e - (1) 6 x^{2} (x - y) (x^{2} + x y + y^{2}) = 3 \times 2 \times x \times x (x - y) (x^{2} + x y + y^{2}) (2) (x - y)^{2} = (x - y) (x - y) (3) 12 x (x - y)^{3} = 2 \times 2 \times 3 \times x (x - y) (x^{2} + x y + y^{2}) ∴ C o l l e c t i n g t h e c o m m o n f a c t o r s i n a l l t h e t h r e e e x p r e s s i o n s w e h a v e H C F = (x - y) (A n s)$

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Similar questions

6 x^{2} y (x - y) (x^{2} + x y + y^{2}), 18 x y^{2} (x - y)^{2}

12 x (x - y)^{3}

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

(i) x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2}) (i i) x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

{(x + y + z)}^{2} - x^{5} - y^{5} - z^{5} = 5 (y + z) (z + x) (x + y) (x^{2} + y^{2} + z^{2} + y z + z x + x y)

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