Question

Solve - 94 into 102 using id

Answer 1

$94 \times 102 \\ (100 - 6)(100 + 2) \\ using \: identity \\(x + a)(x + b) = {x}^{2} + (a + b)x + ab \\ = {100}^{2} + ( - 6 + 2)100 + ( - 6) \times 2 \\ = 10000 - (4 \times 100) - 12 \\ = 10000 - 400 - 12 \\ = 9600 - 12 \\ = 9588$