`3x^2 -8x+4`
`=3x^2-2x-6x+4`
`=x(3x-2) - 2(3x-2)`
`=(3x-2)(x-2)`
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`4x^2-4x-3`
`=4x^2 +2x-6x-3`
`=2x(2x+1) - 3(2x+1)`
`=(2x+1)(2x-3)`
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`x^2-6x+5`
`=x^2-x-5x+5`
`=x(x-1)-5(x-1)`
`=(x-1)(x-5)`
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`x^4 +2x^2-3`
`=x^4+x^3+3x^2+3x-x^3-x^2-3x-3`
`=x(x^3+x^2+3x+3)-1(x^3+x^2+3x+3)`
`=(x^3+x^2+3x+3) (x-1)`
`=[x^2(x+1) +3(x+1)](x-1)`
`= (x^2+3)(x+1)(x-1)`
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`x^4+64`
`=x^4+16x^2+64-16x^2`
`=(x^2)^2 +16x^2 +8^2 -(4x)^2`
`=(x^2 +8)^2 -(4x)^2`
`= (x^2+8-4x)(x^2 +8+4x)`