5x-2x-3x+4x = (5-2-3+4)x = 4x
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4x + 3 doesn't factor. It is in its simplest form.
8x + 5z - 4x + 3z + 6 = 8x - 4x + 5z + 3z - 6 = 4x + 8z - 6
4x
-4x + 5 + 3x + 6 = -x + 11
16x2 + 40x + 25 = 16x2 + 20x + 20x + 25 = 4x(4x + 5) + 5(4x + 5) = (4x + 5)(4x + 5) = (4x + 5)2