Evaluate the following by using suitable properties 107×107
Share
Evaluate the following by using suitable properties 107×107
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
To Find-
=Square of 107
Solution-
[tex] = 107 \times 107 \\ = {(107)}^{2} \\ =( 100 + 7) {}^{2} \\ [/tex]
Identity:-
[tex] \blue{(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab}[/tex]
[tex] = {100}^{2} + {7}^{2} + 2(7)(100) \\ = 10000 + 49 + 1400 \\ = 10000 + 1449 \\ \orange{ = > \boxed{ \green{ 11449}}}[/tex]