1.\(x^2+4x+4=\left(x+2\right)^2\)
2.\(x^2-8x+16=\left(x-4\right)^2\)
3.\(\left(x+5\right)\left(x-5\right)=x^2-25\)
4.\(x^3+12x+48x+64=\left(x+4\right)^3\)
5.\(x^3-6x^2+12x-8=\left(x-2\right)^3\)
6.\(\left(x+2\right)\left(x^2-2x+4\right)=x^3+8\)
7.\(\left(x-3\right)\left(x^2+3x+9\right)=x^3-27\)
8.\(4x^4-15=\left(2x^2\right)^2-\left(\sqrt{15}\right)^2=\left(2x^2-\sqrt{15}\right)\left(2x^2+\sqrt{15}\right)\)