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# Squaring 4

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An intelligent way of squaring numbers using an algebraic identity given by ancient Indian mathematician Bhaskaracharya-II (1114-1193 CE). Learn this technique to do squaring mentally.
Teachers can use this technique to teach mental squaring.

Published in: Spiritual, Education
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### Squaring 4

1. 1. Squaring – 4 (from Bhaskara’s Lilavati) Vinay Nair SCHOOL OF VEDIC MATHS
2. 2. • a2 – b2 = (a + b)(a – b) • a2 = (a + b)(a – b) + b2
3. 3. a2 = (a + b)(a – b) + b2 (i) 462 = (46 + 4)(46 – 4) + 42 = 50 x 42 + 16 = 2100 + 16 = 2116 (ii) 582 = (58 + 8)(58 – 8) + 82 = 66 x 50 + 64 = 3300 + 64 = 3364
4. 4. a2 = (a + b)(a – b) + b2 (iii) 382 = (38 + 2)(38 – 2) + 22 = 40 x 36 +4 = 1440 +4 = 1444 (iv) 272 = (27 + 3)(27 – 3) + 32 = 30 x 24 + 9 = 720 +9 = 729
5. 5. a2 = (a + b)(a – b) + b2 (v) 932 = (93 + 7)(93 – 7) + 72 = 100 x 86 + 49 = 8600 + 49 = 8649 (vi) 892 = (89 + 11)(89 – 11) + 112 = 100 x 78 + 121 = 7800 + 121 = 7921
6. 6. Thank you!