Question

evaluate using identity. (205)^2



I need answer with step by step explanation ​

Answer 1

Answer:

( 205 )² = ( 200 + 5 ) ² = 200² + 5² + 2 ( 200 ) ( 5 )

= 40000 + 25 + 2000

= 42025 IS THE ANSWER

Answer 2

( 205)²

(200 + 5)²

Using identity ( x + y )² = x² + 2xy + y²

( 200)² + 2 × 200× 5 + (5)²

40000 + 2000 + 25

42025..

Hence answer is 42025.