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Example 4 Factorise π₯^2 + 8π₯ + 16 π₯^2 + 8π₯ + 16 = π₯^2 + 8π₯ + 4^2 = π₯^2 + (2 Γ 4 Γ π₯) + 4^2 = π₯^2 + 4^2 + (2 Γ 4 Γ π₯) Using (π+π)^2 = π^2+π^2+2ππ Here π=π₯, π=4 = (γπ + π)γ^π