Math, asked by diyapundir8, 6 months ago

Using formula (a‐b)² =(a²‐2ab+b²)

i . (196)²
ii . (689)²​

Answers

Answered by Mɪʀᴀᴄʟᴇʀʙ
81

Solution:

i. (196)²

=>(200-4)²

=>(200)²-2×200×4+(4)²

=>40000-1600+16

=>40016-1600

=>38,416

ii. (689)²

=>(690-1)²

=>(690)²-2×690×1+(1)²

=>476100-1380+1

=>476101-1380

=>474,721

Answered by MяƖиνιѕιвʟє
103

Given :-

  • (196)²
  • (689)²

Solution :-

→ (196)²

→ (200 - 4)²

  • Apply identity
  • (a - b)² = a² + b² - 2ab

→ (200)² + (4)² - 2 × 200 × 4

→ 40000 + 16 - 1600

→ 40016 - 1600

→ 38416

________________________________

→ (689)²

→ (700 - 11)²

→ (700)² + (11)² - 2 × 700 × 11

→ 490000 + 121 - 15400

→ 490121 - 15400

→ 474721

________________________________

Some Identities :-

  • (a + b)² = a² + b² + 2ab
  • a² - b² = (a + b)(a - b)
  • a³ - b³ = (a - b)(a² + ab + b²)
  • a³ + b³ = (a + b)(a² - ab + b²)
  • (a + b)³ = a³ + b³ + 3ab(a + b)
  • (a - b)³ = a³ - b³ - 3ab(a - b)
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