Question

Solve using suitable identities: (x^2+y^2)^3

Answer 1

         

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

(x² + y²)³

⇒ (x²)³ + (y²)³ + 3x²y²(x² + y²)

⇒ x⁶ + y⁶ + 3x⁴y² + 3x²y⁴

⇒ x⁶ + 3x⁴y² + 3x²y⁴ + y⁶

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Answer 2

(a+b)^3=a^3+b^3+3a^2b+3ab^2

(x^2+y^2)^3=x^6+y^6+3x^4y^2+3x^2y4