Question

value of 103 * 107 without multiplying directly is
$(100 + 3) \times (100 + 7) \\ ({100}^{2} ) + (3 + 7) \times 100 + 7 \times 3 \\ (x + a)(x + b) = {x }^{2} + (a + b)x + ab \\ = ( {100)}^{2} + 10 \times 100 + 21 \\ = 10000 + 1000 + 21 = 11021$
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Answer 1

Answer:

value of 103 * 107 without multiplying directly is

$(100 + 3) \times (100 + 7) \\ ({100}^{2} ) + (3 + 7) \times 100 + 7 \times 3 \\ (x + a)(x + b) = {x }^{2} + (a + b)x + ab \\ = ( {100)}^{2} + 10 \times 100 + 21 \\ = 10000 + 1000 + 21 = 11021$

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