Question

102*106 82 into 106
​

Answer 1

${ \boxed{ \huge{ \mathtt{102 \times 106}}}} \\ \\ = { \boxed{ \huge{ \mathtt{(100 + 2)(100 + 6)}}}} \\ \\ = { \boxed{ \huge{ \mathtt{ {(100)}^{2} + (2 + 6)100 + (2)(6) }}}} \\ \\ = { \boxed{ \huge{ \mathtt{10000 + 800 + 12}}}} \\ \\ = { \boxed{ \huge{ \mathtt{ \red{10812}}}}}$

And,

${ \boxed{ \huge{ \mathtt{82 \times 106}}}} \\ \\ = { \boxed{ \huge{ \mathtt{(100 - 18)(100 + 6)}}}} \\ \\ = { \boxed{ \huge{ \mathtt{ {(100)}^{2} + ( - 18 + 6)100 + ( - 18)(6)}}}} \\ \\ = { \boxed{ \huge{ \mathtt{10000 + ( - 1200) + ( - 108)}}}} \\ \\ = { \boxed{ \huge{ \mathtt{10000 - 1200 - 108}}}} \\ \\ = { \boxed{ \huge{ \mathtt{10000 - 1308}}}} \\ \\ = { \boxed{ \huge{ \mathtt{ \red{8692}}}}}$