Question

evaluate 999×999 without actual division​

Answer 1

${\huge{\underline{\underline{\sf {\mathfrak{Answer}}}}}}$

${\underline{\underline{\rm {Given:}}}}$

$999 × 999$

${\underline{\underline{\rm {Solution:}}}}$

• $999 ×999$
• $(999)^2$
• $(1000 - 1)^2$

$By \ identity \ (a-b)^2 = a^2 + b^2 -2ab$

• $(1000)^2 + (1)^2 - 2 × 1000 × 1$
• $1000000 + 1 - 2000$
• $998000 + 1$

$\boxed{\implies{\boxed{998001}}}$