Factorization 4 (a ^ 2-2a + 6) (2a ^ 2-A + 4) - (3a ^ 2-3a + 10) ^ 2 | Math enthusiast | Mathematical art

Factorization 4 (a ^ 2-2a + 6) (2a ^ 2-A + 4) - (3a ^ 2-3a + 10) ^ 2

Let a = a ^ 2-2a + 6, B = 2A ^ 2-A + 4
Then a + B = 3A ^ 2-3a + 10
∴4AB-(A+B)²
=4AB-A²-2AB-B²
=-(A-B)²
=-(a^2-2a+6-2a^2+a-4)²
=-(-a²-a+2)²
=-(a²+a-2)²
=-(a+2)²(a-1)²

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