Find the H.C.F of a3-a2x, a3-ax2, a4-ax3.

1) a3-a2x=a2(a-x)

=a X a X (a-x)

2) a3-ax2=a(a2-x2)

=a X (a-x) X(a+x)

3) a4-ax3=a(a3-x3)

=a X (a-x) X (a2+ax+x2)

common factors=a and (a-x)

then,HCF=a X (a-x)=a(a-x)

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