3a(b²+9)²-108ab²
=3a[(b²+9)²-36b²]
=3a[(b²+9)+6b][(b²+9)-6b]
=3a(b²+6b+9)(b²-6b+9)
=3a(b+3)²(b-3)²
3a(x²+4)²-48ax²
=3a[(x²+4)²-16x²]
=3a[(x²+4)+4x][(x²+4)-4x]
=3a(x²+4x+4)(x²-4x+4)
=3a(x+2)²(x-2)²
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