4x^(2) - 8x
'4' is common to both '4' & '8' . So tak outr '4'.
Hence
4(x^(2) - 2x)
Inside the brackets 'x' is common to both 'x^(2) & '2x'. So take out 'x'.
Hence
4x(x - 2)
Done , fully factored.
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x2 - 8x = x*x - 8*x = x*(x - 8)
(4x+1)(4x-3)
8x2 + 6x - 9 = 8x2 + 12x - 6x - 9 = 4x(2x + 3) - 3(2x + 3) = (2x + 3)(4x - 3)
8x
the gcf is 4x