Question

Evaluate using suitable identities 102 x106

Answer 1

(100+2)(100+6)

(x+a)(x+b)=x

$(100 + 2)(100 + 6) \\ (x + a)(x + b) = x { }^{2} + (a + b)x + ab \\ 100 {}^{2} + (2 + 6)100 + 2 \times 6 \\ 10000 +( 8)100 + 12 \\ 10000 + 800 + 12 \\ 10800 + 12 \\ 10812$