1.

(a) Find the HCF of `48x^(5) y^(2) and 112 x^(3) y`

Answer» Let `f(x) = 48x^(5) y^(2) and g(x) = 112 x^(3) y`
Writing f(x) and g(x) as a product of powers of irreducible factors
`f(x) = 2^(4).3. x^(5). Y^(2)`
`g(x) = 2^(4). 7. x^(3). Y`
The common factors with the least exponents are `2^(4), x^(3) and y`
`:. HCF = 16x^(3) y`


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