Question

simplify using identities

$100 {2}^{2}$
​

Answer 1

$\huge\fcolorbox{red}{cyan}{10,04,004}$

Step-by-step explanation:

$= > {(1002)}^{2} \\ = > (1000 + 2 {)}^{2} \\ = > \boxed{\bf \color{red}{(x + y {)}^{2} = {x}^{2} + 2xy + {y}^{2} }} \\ = > ( {1000)}^{2} + (2 \times 1000 \times 2) + ( {2)}^{2} \\ = > 1000000 + 4000 + 4 \\ = > \boxed{1004004}$

Answer 2

Step-by-step explanation:

$\huge\tt{ {1002}^{2} } \\ \\ \huge\tt{ = {(1000 + 2)}^{2} } \\ \\ \huge\tt{ = {(1000)}^{2} + 2 \times 1000 \times 2 + {2}^{2} } \\ \\ \huge\tt{ = 1000000 + 4000 + 4} \\ \\ \huge\tt{ = 104004}$

$\huge\frak\red{answer = 104004}$