Explain me the calculation of this sum + Expansions
CONCEPTS
TESTS
00:31
REVISION
num ers one elOWthe other, andthen mültiplYihg
them as we normally do. The other way is to break the
numbers and then apply distributive property. This will
make our work much easier.
Let us see how.
1022= 102 x 102
= (100+2) (100 + 2)
= 100 (100+2) +2 (100 + 2)
= 100 x 100 + 100 x 2+2 x 100+2 x 2
= IOOOO + 200 + 200 + 4
= 10404
Observing the similar expressions as above, we obtain
the following identities.
= a2 + 2ab + b2
(a - b)2 = a2 - 2ab + b2
TOPICS
