Find the HCF of the numbers 'a' and 'b' where: a = 4^2 x 5^3 x 7^2 b = 2^3 x 5 x 7
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x
5
+2x
4
+x
3
andx
7
−x
5
⇒x
3
(x
2
+2x+1)⇒x
3
(x+1)(x+1)
x
7
−x
5
⇒=x
5
(x
2
−1)⇒x
5
(x+1)(x−1)
∴RequiredH.C.F=x
3
(x+1)
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