Vedic Mathematics – session 2 : Vedic Mathematics – session 2 By Malay
What will we learn today? : What will we learn today? General rule to simplify multiplication (Urdha-tiryak)
Application of Urdha-tiryak method
Factorization of quadratic equations 2
General rule to simplify multiplication (Urdha-tiryak) : General rule to simplify multiplication (Urdha-tiryak) ax2+bx+c
dx2+ex+f
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adx4+(ae+bd)x3+(cd+af)x2+(fb+ec)x+cf 3
Example : Example x3 x2 x
1 0 3
1 0 2
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(1*1)x6+(1*0+1*0)x5+(1*2+1*3+0*0)x4+(0*2+0*3)x3+(3*2)x2
10506 4
Example : Example x3 x2 x
5 8 2
2 3 1
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10 13 42
3 31
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13 44 42 5
Application of Urdha-tiryak method : Application of Urdha-tiryak method Q: Find the area of a rectangle in square feet and square inches whose length is 7 feet 8 inches and breadth is 5 feet 11 inches? 6
solution : solution 7x + 8
5x + 11
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35x2+ 117x+88
= 35 sq. feet + (9*12+9)x + 88
= 44 sq. ft. + 196 sq. in.
= 45 sq. ft. + 52 sq. in. 7
Factorization : Factorization 2x2+9x+10 8
Golden rule to check the answer : Golden rule to check the answer The product of the sum of the coefficient s in the factors is equal to the sum of the coefficient in the product. 9
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mathisfun@teachorissa.com 10