因式分解(x∧2-x-6)(x∧2+3x-4)+24

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因式分解(x∧2-x-6)(x∧2+3x-4)+24因式分解(x∧2-x-6)(x∧2+3x-4)+24因式分解(x∧2-x-6)(x∧2+3x-4)+24(x"-x-6)(x"+3x-4)+24=(

因式分解(x∧2-x-6)(x∧2+3x-4)+24
因式分解(x∧2-x-6)(x∧2+3x-4)+24

因式分解(x∧2-x-6)(x∧2+3x-4)+24
( x" - x - 6 )( x" + 3x - 4 ) + 24
= ( x" - 3x + 2x - 6 )( x" + 4x - x - 4 ) + 24
= [ x( x - 3 ) + 2( x - 3 ) ][ x( x + 4 ) - ( x + 4 ) ] + 24
= ( x - 3 )( x + 2 )( x + 4 )( x - 1 ) + 24
= ( x - 1 )( x + 2 )( x - 3 )( x + 4 ) + 24
= ( x" + x - 2 )( x" + x - 12 ) + 24
= ( x" + x )" - 2( x" + x ) - 12( x" + x ) + 24 + 24
= ( x" + x )" - 14( x" + x ) + 48
= ( x" + x )" - 6( x" + x ) - 8( x" + x ) + 48
= ( x" + x )( x" + x - 6 ) - 8( x" + x - 6 )
= ( x" + x - 6 )( x" + x - 8 )