a, \(x^3+8-4x^2-8x\)
\(=x^3+2x^2-6x^2-12x+4x+8\)
\(=x^2\left(x+2\right)-6x\left(x+2\right)+4\left(x+2\right)\)
\(=\left(x+2\right)\left(x^2-6x+4\right)\)
b, \(x^2+2x+1-y^2\)
\(=\left(x+1\right)^2-y^2=\left(x+1-y\right)\left(x+1+y\right)\)
c, \(x^3-64\)
\(=x^3-4^3=\left(x-4\right)\left(x^2+4x+16\right)\)
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A)
\(x^3+8-4x^2-8x=\left(x+2\right)\left(x^2-2x+4\right)-4x\left(x+2\right)\\ \left(x+2\right)\left(x^2-6x+4\right)\)
B)
\(x^2+2x+1-y^2=\left(x+1\right)^2-y^2\\ =\left(x+1+y\right)\left(x+1-y\right)\)
C)
\(x^3-64=x^3-4^3\\ \left(x-4\right)\left(x^2+4x+16\right)\)
a, \(x^3+8-4x^2-9x\)
\(=\left(x+2\right)\left(x^2-2x+4\right)-4x\left(x+2\right)\)
\(=\left(x+2\right)\left(x^2-6x+4\right)\)
b, \(x^2+2x+1-y^2\)
\(=\left(x+1\right)^2-y^2=\left(x-y+1\right)\left(x+y+1\right)\)
c, \(x^3-64=\left(x-4\right)\left(x^2+4x+16\right)\)