The H.C.F of (a3−a2x),(a3−ax2),(a4−ax3) is

The $H . C . F$ of $(a^{3} - a^{2} x), (a^{3} - a x^{2}), (a^{4} - a x^{3})$ is

A
$a (a - x) (a + x)$
B
$a (a - x)$
C
$a (a + x)$
D
$- a (a - x) (a + x)$

Solution:

$a^{2} (a - x), a (a^{2} - x^{2}), a (a^{3} - x^{3})$

$a^{2} (a - x), a (a + x) (a - x), a (a - x) (a^{2} + a x + x^{2})$

Common factor

$= a (a - x)$

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