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)
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)