Math, asked by mahidhiman489, 4 months ago

Using identities , evaluate 998²​

Answers

Answered by XxHeartHackerRokeyxX
2

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.

Answered by diajain01
21

\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

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