Question
Factorise:
16x4 + 54x
16x4 + 54x
✓
Answer
16x4 + 54x
= 2x(8x 3 + 27)
= 2x[(2x)3 + (3)3] Since a3 + b3 = (a + b)(a2 - a × b + b2)
= 2x(2x + 3)[(2x)2 - 2x × 3 + 32]
= 2x(2x+3)(4x2 -6x +9)
= 2x(8x 3 + 27)
= 2x[(2x)3 + (3)3] Since a3 + b3 = (a + b)(a2 - a × b + b2)
= 2x(2x + 3)[(2x)2 - 2x × 3 + 32]
= 2x(2x+3)(4x2 -6x +9)
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