(2a²-3b²+2)(2-2a²+3b²)2(1-x)²+6a(x-1)^3(x²-6x)²+2(x²-6x)-63

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(2a²-3b²+2)(2-2a²+3b²)2(1-x)²+6a(x-1)^3(x²-6x)²+2(x²-6x)-63
(2a²-3b²+2)(2-2a²+3b²)
2(1-x)²+6a(x-1)^3
(x²-6x)²+2(x²-6x)-63

(2a²-3b²+2)(2-2a²+3b²)2(1-x)²+6a(x-1)^3(x²-6x)²+2(x²-6x)-63
( 2a" - 3b" + 2 )( 2 - 2a" + 3b" )
= [ 2 + ( 2a" - 3b" ) ][ 2 - ( 2a" - 3b" ) ]
= 2" - ( 2a" - 3b" )"
= 4 - [ 4( a^4 ) - 12a"b" + 9( b^4 ) ]
= 4 + 12a"b" - 4(a^4) - 9(b^4)
2( 1 - x )" + 6a( x - 1 )"'
= 6a( x - 1 )"' + 2( x - 1 )"
= 2( x - 1 )"[ 3a( x - 1 ) + 1 ]
= 2( x - 1 )"( 3ax - 3a + 1 )
( x" - 6x )" + 2( x" - 6x ) - 63
= ( x" - 6x )" + 9( x" - 6x ) - 7( x" - 6x ) - 63
= ( x" - 6x )( x" - 6x + 9 ) - 7( x" - 6x + 9 )
= ( x" - 6x + 3" )( x" - 6x - 7 )
= ( x - 3 )"( x" + x - 7x - 7 )
= [ x( x + 1 ) - 7( x + 1 ) ]( x - 3 )"
= ( x + 1 )( x - 7 )( x - 3 )"

2(1-x)²+6a(x-1)^3=2(1-x)²[1+3a(x-1)]=2(1-x)²[1+3ax-3a]
(x²-6x)²+2(x²-6x)-63=[(x²-6x)-7][(x²-6x)+9]=(x+1)(x-7)(x-3)²