Page 32 - VEDIC MATHEMATICS

4. 902 x 998 5. 397 x 393 6. 551 x 549

Sutra 15 - Antyayoreva

'Atyayoreva' means 'only the last terms'. This is useful in solving simple
equations of the following type.
The type of equations are those whose numerator and denominator on the
L.H.S. bearing the independent terms stand in the same ratio to each other as
the entire numerator and the entire denominator of the R.H.S. stand to each
other.

Sutra 16 - Lopana Sthapanabhyam

To find the Highest Common Factor i.e. H.C.F. of algebraic expressions, the
factorization method and process of continuous division are in practice in the
conventional system. We now apply' Lopana - Sthapana' Sutra, the 'Sankalana
vyavakalanakam' process and the 'Adyamadya' rule to find out the H.C.F in a more
easy and elegant way.
Example 1: Find the H.C.F. of x2 + 5x + 4 and x2 + 7x + 6.

1. Factorization method:

x2 + 5x + 4 = (x + 4) (x + 1)
x2 + 7x + 6 = (x + 6) (x + 1)
H.C.F. is ( x + 1 ).

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