Question

find the value of (55²) by proper identities​

Answer 1

$= ( {55})^{2}$

$= (50 + 5) ^{2}$

$therefore \: (a + b)^{2} = {a}^{2} + {b}^{2} + 2ab$

$= ( {50}^{2} ) + ( {5}^{2} ) + 2 \times 50 \times 5$

$= 2500 + 25 + 500$

$= 3025$