Mathematics
Factorise:
16x4 + 54x
Factorisation
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Answer
Given,
⇒ 16x4 + 54x
⇒ 2x(8x3 + 27)
⇒ 2x[(2x)3 + (3)3]
By using the identity,
a3 + b3 = (a + b)(a2 - ab + b2)
⇒ 2x(2x + 3)[(2x)2 - 2x × 3 + (3)2]
⇒ 2x(2x + 3)(4x2 - 6x + 9).
Hence, 16x4 + 54x = 2x(2x + 3)(4x2 - 6x + 9).
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