Question

evaluate 105×106 without multiplying directly​

Answer 1

Answer:

$105 \times 106$

$(100 + 5) \times (100 + 6)$

$here \: we \: can \: use \: the \: identity -$

$(x + a) \times (x + b)$

$here \: a = 5$

$b = 6$

$and \: x = 100$

$thus \: we \: know -$

$this \: is \: equal \: to - \\ \\ {x}^{2} + (a + b)x + ab$

$so \: therefore \: it \: is -$

${100}^{2} + (5 + 6)100 + (5 \times 6)$

$= 10000 + (11 \times 100) + 30$

$= 10000 + 1100 + 30$

$= 11130$

Hope it's clear for you.

Answer 2

Answer:

Here is the answer

Step-by-step explanation:

Hope it helped u