Question

Find the values of 105*106 without multiplying.

Answer 1

Dear student,

105 ✕ 106 = (100 + 5)(100 + 6)

Using identity, (x + a) (x + b) = x2 + (a+b)x + ab

we get, {where x=100, a=5, b=6}

= (100)2 + (5+ 6)100 + (5)*(6)

= 10000 + (11)*(100) + 30

= 10000 + 1100 + 30

= 11130


Regards