Question

(iii) 35 x 37
(vii) 994 x 1006​

Answer 1

Answer:

iii. 1295,. iv. 999964

Answer 2

$(i)35 × 37 \\ = (30 + 5)(30 + 7) \\ using \: identity \: (x + a)(x + b) = {x}^{2} + (a + b)x + ab \\ = {30}^{2} + (5 + 7)30 + (5)(7) \\ = 900 + 12(30) + 35 \\ = 935 + 360 \\ = 1295$

$(ii)994 \times 1006 \\ = (1000 - 6)(1000 + 6) \\ using \: identity \: (a + b)(a - b) = {a}^{2} - {b}^{2} \\ = 1 {000}^{2} - {6}^{2} \\ = 1000000 - 36 \\ = 999964$

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