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Mathematics

Factorise:

x5 + x2

Factorisation

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Answer

Given,

⇒ x5 + x2

⇒ x2(x3 + 1)

⇒ x2[(x)3 + (1)3]

By using the identity,

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

⇒ x2(x + 1)(x2 - x × 1 + 12)

⇒ x2(x + 1)(x2 - x + 1).

Hence, x5 + x2 = x2(x + 1)(x2 - x + 1).

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