\(a.\left(x+8\right)\left(x-8\right)=x^2-8^2=x^2-64\\ b.x^3+12x^2+48x+64=x^3+3\cdot x^2\cdot4+3\cdot x\cdot4^2+4^3\\ =\left(x+4\right)^3\\ c.16x^2-8x+1=\left(4x\right)^2-2\cdot4x\cdot1+1^2=\left(4x-1\right)^2\\ d.9x^2+6x+1=\left(3x\right)^2+2\cdot3x\cdot1+1^2=\left(3x+1\right)^2\\ e.\left(x+2\right)\left(x^2-2x+4\right)=x^3+2^3=x^3+8\\ f.x^3+125=x^3+5^3=\left(x+5\right)\left(x^2-5x+25\right)\)
`a)(x+8)(x-8)`
`=x^2-8^2=x^2-36`
`b)x^3+12x^2+48x+64`
`=x^3+3.x^{2}.4+3.x.4^2+4^3`
`=(x+4)^3`
`c)16x^2-8x+1`
`=(4x)^2-2.4x+1`
`=(4x-1)^2`
`d)9x^2+6x+1`
`=(3x)^2+2.3x+1`
`=(3x+1)^2`
`e)(x+2)(x^2-2x+4)`
`=(x+2)(x^2-x.2+2^2)`
`=x^3+2^3`
`=x^3+8`
`f)x^3+125`
`=x^3+5^3`
`=(x+5)(x^2-5x+125)`
