Question

Using identities , evaluate 998²​

Answer 1

Answer:

(998)2 (998)2 = (1000 - 2)2. We know that ( a - b )2 = a2 + b2 - 2ab ∴ (1000 - 2)2 = 10002 + 22 - 2 x 1000 x 2 = 1000000 + 4 - 4000 = 9,96,004. Concept: Algebraic Identities.

Answer 2

$\huge{\fbox{\fcolorbox{cyan}{pink}{✿AnsWer}}}$

⤵️TO EVALUATE:-

${998}^{2}$

⤵️ IDENTITY USED:-

$: \longrightarrow \purple{ \boxed{( {a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab}}$

⤵️LET'S DO IT:-

According to the identity,

$( {998)}^{2} = {(1000 - 2)}^{2}$

$\therefore( {1000 - 2)}^{2} = {1000}^{2} + {2}^{2} - 2 \times 1000 \times 2$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: : \longrightarrow \: 1000000 + 4 - 4000$

$\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: : \longrightarrow\: \blue{\boxed{ \boxed {\huge{996004}}}}$

HOPE IT HELPS