Question

Write all algebraic identities [ from class 9th ] ​

Answer 1

Step-by-step explanation:

❤️ ( x + y )² = x² + 2xy + y²

★ ( x - y )² = x² - 2xy + y²

■ ( x + y ) ( x - y ) = x² - y²

◆ ( x + a) ( x + b ) = x² + ( a + b ) x + a . b

● ( x + y + z )² = x² + y² + z² + 2xy + 2yz + 2zx

→ ( x + y )³ = x³ + y³ + 3xy ( x + y )

✍ ( x - y )³ = x³ - y³ - 3xy ( x - y )

❤️ x³ + y³ + z³ - 3xyz = ( x + y + z ) ( x² + y² + z² - xy - yz + xz )

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Answer 2

Answer:

Identity I: (a + b)2 = a2 + 2ab + b2

Identity II: (a – b)2 = a2 – 2ab + b2

Identity III: a2 – b2= (a + b)(a – b)

Identity IV: (x + a)(x + b) = x2 + (a + b)x + ab

Identity V: (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

Identity VI: (a + b)3 = a3 + b3 + 3ab (a + b)

Identity VII: (a – b)3 = a3 – b3 – 3ab (a – b)

Identity VIII:  a3 + b3 + c3 – 3abc = (a + b + c)(a2 + b2 + c2 – ab – bc – ca)

Step-by-step explanation: