Mathematics
Factorise the following:
a12x4 - a4x12
Factorisation
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Answer
a12x4 - a4x12 = a4x4(a8 - x8)
= a4x4[(a4)2 - (x4)2]
We know that,
a2 - b2 = (a + b)(a - b).
= a4x4(a4 + x4)(a4 - x4)
= a4x4(a4 + x4)[(a2)2 - (x2)2]
= a4x4(a4 + x4)(a2 + x2)(a2 - x2)
= a4x4(a4 + x4)(a2 + x2)(a + x)(a - x).
Hence, a12x4 - a4x12 = a4x4(a4 + x4)(a2 + x2)(a + x)(a - x).
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