`x^2 + 8xy + 16y^2 - 4z^2`
`= (x^2 + 8xy + 16y^2) - 4z^2`
`= [x^2 + 2 . x . 4y + (4y)^2] - (2z)^2`
`= (x + 4y)^2 - (2z)^2`
`= (x + 4y - 2z)(x + 4y + 2z)`
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\(=\left(x^2+8xy+16y^2\right)-4z^2=\left(x+4y\right)^2-\left(2z\right)^2\)
\(=\left(x+4y+2z\right)\left(x+4y-2z\right)\)
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